From d7d9f647270c6ac693a1673c925e49e9863f8753 Mon Sep 17 00:00:00 2001 From: Florian Atteneder <florian.atteneder@uni-jena.de> Date: Sat, 30 Dec 2023 16:17:47 +0000 Subject: [PATCH] make shock tube and blast wave tests run for SRHD when using MDA AV (dg/dg1d.jl!91) * update ref test data srhd_simple_wave_avmda * fix up dispatch of register_variables; fix up smoothing on initial data * mda: use inplace operations * cons2prim: disable simd; disable atmosphering warning * update blastwave1/2 av mda examples * adjust tau when energy density exceeds lower bound * don't recompute max speed for timestep * determine initial viscosity using all dynamic variables as indicators * add blastwave1 example * add blastwave2 examples * fixup blastwave2 test; don't smooth FVElement mesh initial data * commit conservative_fixing experiments (not active) * cons2prim: temporarily error in case speed is too large * disable conservative_fixing again * change fixedprms in setup * fix domain assertion for blastwave1 test * add initial data smoother based on Bernsteining * do not recompute viscosity on initial data * modify examples * implement fd derivative again * implement covariant regularization * add prms to Project type * add example parfiles * update ref test data srhd_simple_wave_fv the difference is quite pronounced * use maximum of max_v instead of v for time step estimation * update ref test data srhd_simple_wave_avmda * compute cellmax_v properly; compute maxspeed in equation callback * implement sod shock tube initial data --- examples/simple_wave/aventropy.toml | 38 +++++ examples/simple_wave/avmda.toml | 35 ++++ examples/simple_wave/dg.toml | 38 +++++ examples/simple_wave/fv.toml | 23 +++ examples/srhd_blastwave1/avmda.toml | 33 ++++ examples/srhd_blastwave1/fv.toml | 22 +++ examples/srhd_blastwave2/avmda.toml | 31 ++++ examples/srhd_blastwave2/fv.toml | 22 +++ examples/srhd_sod_shocktube/avmda.toml | 35 ++++ examples/srhd_sod_shocktube/fv.toml | 23 +++ src/HRSC/mda.jl | 24 ++- src/SRHD/callbacks.jl | 16 +- src/SRHD/cons2prim.jl | 152 ++++++++++++------ src/SRHD/equation.jl | 48 ++++++ src/SRHD/initialdata.jl | 49 ++++-- src/SRHD/rhs.jl | 145 +++++++++++++++-- src/SRHD/setup.jl | 27 ++-- src/SRHD/types.jl | 4 +- .../refs/srhd_simple_wave_avmda/output.h5 | Bin 122840 -> 122840 bytes .../refs/srhd_simple_wave_fv/output.h5 | Bin 198168 -> 198168 bytes 20 files changed, 667 insertions(+), 98 deletions(-) create mode 100644 examples/simple_wave/aventropy.toml create mode 100644 examples/simple_wave/avmda.toml create mode 100644 examples/simple_wave/dg.toml create mode 100644 examples/simple_wave/fv.toml create mode 100644 examples/srhd_blastwave1/avmda.toml create mode 100644 examples/srhd_blastwave1/fv.toml create mode 100644 examples/srhd_blastwave2/avmda.toml create mode 100644 examples/srhd_blastwave2/fv.toml create mode 100644 examples/srhd_sod_shocktube/avmda.toml create mode 100644 examples/srhd_sod_shocktube/fv.toml diff --git a/examples/simple_wave/aventropy.toml b/examples/simple_wave/aventropy.toml new file mode 100644 index 00000000..7beb0d85 --- /dev/null +++ b/examples/simple_wave/aventropy.toml @@ -0,0 +1,38 @@ +[EquationOfState] +eos = "polytrope" +polytrope_gamma = 1.6666666666666666667 +polytrope_k = 100.0 + +[SRHD] +id = "simple_wave" +bc = "from_id" + +[Mesh] +range = [ -1.5, 1.5 ] +n = 5 +k = 125 +basis = "lgl" +periodic = true + +[Output] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v", "EP", "smoothed_mu", "E", "flx_E" ] +# variables = [ "D", "S", "tau" ] +aligned_ts = "$(collect(range(0.01,6.4,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 0.125 +tend = 6.4 +# tend = 0.2 + +[Log] +progress_stdout = true + +[HRSC] +method = "av" +av_method = "entropy" +entropy_cmax = 1.0 +entropy_ce = 1.0 + +[TCI] +method = "entropy_production" diff --git a/examples/simple_wave/avmda.toml b/examples/simple_wave/avmda.toml new file mode 100644 index 00000000..e8692e91 --- /dev/null +++ b/examples/simple_wave/avmda.toml @@ -0,0 +1,35 @@ +[EquationOfState] +eos = "polytrope" +polytrope_gamma = 1.6666666666666666667 +polytrope_k = 100.0 + +[SRHD] +id = "simple_wave" +bc = "from_id" + +[Mesh] +range = [ -1.5, 1.5 ] +n = 5 +k = 200 +basis = "lgl" +periodic = true + +[Output] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v", "EP", "smoothed_mu", "E", "flx_E" ] +aligned_ts = "$(collect(range(0.01,6.4,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 0.125 +tend = 6.4 +# tend = 0.2 + +[Log] +progress_stdout = true + +[HRSC] +method = "av" +av_method = "mda" + +[TCI] +method = "entropy_production" diff --git a/examples/simple_wave/dg.toml b/examples/simple_wave/dg.toml new file mode 100644 index 00000000..028cd532 --- /dev/null +++ b/examples/simple_wave/dg.toml @@ -0,0 +1,38 @@ +[EquationOfState] +eos = "polytrope" +polytrope_gamma = 1.6666666666666666667 +polytrope_k = 100.0 + +[SRHD] +id = "simple_wave" +bc = "from_id" + +[Mesh] +range = [ -1.5, 1.5 ] +n = 5 +k = 200 +basis = "lgl" +periodic = false + +[Output] +# variables = [ "D", "S", "tau", "p", "rho", "eps", "E", "Em1", "flx_E", "flx_Em1", "v", "EP", "smoothed_mu" ] +variables = [ "D", "S", "tau" ] +aligned_ts = "$(collect(range(0.01,0.6,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 0.2 +tend = 0.6 +# tend = 0.2 + +[Log] +progress_stdout = true + +# [HRSC] +# method = "av" +# av_method = "entropy" +# entropy_cmax = 0.1 +# entropy_ce = 1.0 + +[TCI] +method = "entropy_production" diff --git a/examples/simple_wave/fv.toml b/examples/simple_wave/fv.toml new file mode 100644 index 00000000..97629dd5 --- /dev/null +++ b/examples/simple_wave/fv.toml @@ -0,0 +1,23 @@ +[EquationOfState] +eos = "polytrope" +polytrope_gamma = 1.6666666666666666667 +polytrope_k = 100.0 + +[SRHD] +id = "simple_wave" +bc = "from_id" + +[Mesh] +range = [ -1.5, 1.5 ] +k = 2056 +periodic = false +scheme = "FV" + +[Output] +variables = [ "D", "S", "tau" ] +aligned_ts = "$(collect(range(0.01,0.6,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 1.0 +tend = 0.6 diff --git a/examples/srhd_blastwave1/avmda.toml b/examples/srhd_blastwave1/avmda.toml new file mode 100644 index 00000000..4615b446 --- /dev/null +++ b/examples/srhd_blastwave1/avmda.toml @@ -0,0 +1,33 @@ +[EquationOfState] +eos = "idealgas" +idealgas_gamma = 1.6666666666666666666667 + +[SRHD] +id = "blastwave1" +bc = "from_id" + +[Mesh] +range = [ -0.5, 0.5 ] +# n = 8 +# k = 255 +n = 5 +k = 205 +basis = "lgl" +periodic = false + +[Output] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v", "smoothed_mu" ] +aligned_ts = "$(collect(range(0.01,0.4,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 0.4 +tend = 0.4 + +[HRSC] +method = "av" +av_method = "mda" +mda_cmax = 20.0 + +[TCI] +method = "entropy_production" diff --git a/examples/srhd_blastwave1/fv.toml b/examples/srhd_blastwave1/fv.toml new file mode 100644 index 00000000..6d197786 --- /dev/null +++ b/examples/srhd_blastwave1/fv.toml @@ -0,0 +1,22 @@ +[EquationOfState] +eos = "idealgas" +idealgas_gamma = 1.6666666666666666666667 + +[SRHD] +id = "blastwave1" +bc = "from_id" + +[Mesh] +range = [ -0.5, 0.5 ] +k = 1024 +scheme = "FV" +periodic = false + +[Output] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v" ] +aligned_ts = "$(collect(range(0.01,0.4,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 1.0 +tend = 0.4 diff --git a/examples/srhd_blastwave2/avmda.toml b/examples/srhd_blastwave2/avmda.toml new file mode 100644 index 00000000..34e785f0 --- /dev/null +++ b/examples/srhd_blastwave2/avmda.toml @@ -0,0 +1,31 @@ +[EquationOfState] +eos = "idealgas" +idealgas_gamma = 1.6666666666666666666667 + +[SRHD] +id = "blastwave2" +bc = "from_id" + +[Mesh] +range = [ -0.5, 0.5 ] +n = 5 +k = 205 +basis = "lgl" +periodic = false + +[Output] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v", "smoothed_mu" ] +aligned_ts = "$(collect(range(0.01,0.4,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 0.2 +tend = 0.4 + +[HRSC] +method = "av" +av_method = "mda" +mda_cmax = 20.0 + +[TCI] +method = "entropy_production" diff --git a/examples/srhd_blastwave2/fv.toml b/examples/srhd_blastwave2/fv.toml new file mode 100644 index 00000000..f48beab3 --- /dev/null +++ b/examples/srhd_blastwave2/fv.toml @@ -0,0 +1,22 @@ +[EquationOfState] +eos = "idealgas" +idealgas_gamma = 1.6666666666666666666667 + +[SRHD] +id = "blastwave2" +bc = "from_id" + +[Mesh] +range = [ -0.5, 0.5 ] +k = 1024 +scheme = "FV" +periodic = false + +[Output] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v" ] +aligned_ts = "$(collect(range(0.01,0.4,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 1.0 +tend = 0.4 diff --git a/examples/srhd_sod_shocktube/avmda.toml b/examples/srhd_sod_shocktube/avmda.toml new file mode 100644 index 00000000..298da8b2 --- /dev/null +++ b/examples/srhd_sod_shocktube/avmda.toml @@ -0,0 +1,35 @@ +[EquationOfState] +eos = "idealgas" +idealgas_gamma = 1.4 + +[SRHD] +id = "sod_shocktube" +bc = "from_id" + +[Mesh] +range = [ -1.0, 1.0 ] +n = 4 +k = 205 +basis = "lgl" +periodic = false + +[Output] +# every_iteration = 1 +# variables = [ "D", "S", "tau", "p", "rho", "eps", "v", "smoothed_mu", +# variables = [ "D", "S", "tau", "smoothed_mu", +# "ldg_D", "ldg_S", "ldg_tau", "rhs_D", "rhs_S", "rhs_tau" ] +variables = [ "D", "S", "tau", "p", "rho", "eps", "v" ] +aligned_ts = "$(collect(range(0.01,0.6,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 0.4 +tend = 0.6 + +[HRSC] +method = "av" +av_method = "mda" +mda_cmax = 20.0 + +[TCI] +method = "entropy_production" diff --git a/examples/srhd_sod_shocktube/fv.toml b/examples/srhd_sod_shocktube/fv.toml new file mode 100644 index 00000000..eecf4dae --- /dev/null +++ b/examples/srhd_sod_shocktube/fv.toml @@ -0,0 +1,23 @@ +[EquationOfState] +eos = "idealgas" +idealgas_gamma = 1.4 + +[SRHD] +id = "sod_shocktube" +bc = "from_id" + +[Mesh] +range = [ -1.0, 1.0 ] +k = 1024 +scheme = "FV" +periodic = false + +[Output] +# every_iteration = 1 +variables = [ "D", "S", "tau", "p", "rho", "eps", "v" ] +aligned_ts = "$(collect(range(0.01,0.6,step=0.01)))" +enable1d = true + +[Evolution] +cfl = 1.0 +tend = 0.6 diff --git a/src/HRSC/mda.jl b/src/HRSC/mda.jl index 2827b421..0337216e 100644 --- a/src/HRSC/mda.jl +++ b/src/HRSC/mda.jl @@ -41,7 +41,7 @@ function compute_viscosity!( # h = L / (K * N) h = L / K - u = reshape(u, layout(mesh)) + u = dg1d.vreshape(u, layout(mesh)) uhat = invV * u # modal coefficients # perfect decay modal coefficients, added to enhance sensitivity to @@ -65,19 +65,33 @@ function compute_viscosity!( rng_N = 1:N data_x = @. - log(rng_N) + mod_uh = zeros(Float64, N) + skylined_mod_uh = zeros(Float64, N) + data_y = zeros(Float64, N) + for j in 1:K # (3.11) # only consider coefficients 2:Np (which corresponds to 1:N), because # the 1st (0th) one corresponds to a constant mode that is irrelevant # for the smoothness esimation. - mod_uh = @. sqrt( uhat[2:end,j]^2 + cellnorm2_u[j] * vhat^2 ) + @. mod_uh = sqrt( uhat[2:end,j]^2 + cellnorm2_u[j] * vhat^2 ) # (3.12) # max(1,N-1) inserted to avoid a 0:end range which can happen when only using two points - skylined_mod_uh = [ maximum(mod_uh[min(n,max(1,N-1)):end]) for n in 1:N ] + # skylined_mod_uh = [ maximum(mod_uh[min(n,max(1,N-1)):end]) for n in 1:N ] + for n = 1:N + skylined_mod_uh[n] = @views maximum(mod_uh[min(n,max(1,N-1)):end]) + end # data points in log scale - data_y = @. log(skylined_mod_uh) - data_y[isinf.(data_y)] .= -20.0 + # data_y = @. log(skylined_mod_uh) + @. data_y = log(skylined_mod_uh) + for n = 1:N + y = data_y[n] + if isinf(y) + data_y[n] = -20.0 + end + end + # data_y[isinf.(data_y)] .= -20.0 _, _, tau = dg1d.least_sqr_linear(data_x, data_y) isnan(tau) && error("undesired nan encountered") diff --git a/src/SRHD/callbacks.jl b/src/SRHD/callbacks.jl index 1c27293b..0599bc2e 100644 --- a/src/SRHD/callbacks.jl +++ b/src/SRHD/callbacks.jl @@ -49,6 +49,7 @@ function callback_equation(state_t, isperiodic, eq, mesh) Em1 .= E flx_Em1 .= flx_E dg1d.new_broadcast_volume!(entropy_variables, eq, mesh) + dg1d.new_broadcast_volume!(maxspeed, eq, mesh) dt <= 0.0 && return LL = layout(mesh) @@ -58,7 +59,6 @@ function callback_equation(state_t, isperiodic, eq, mesh) Em1 = dg1d.vreshape(Em1, LL) flx_Em1 = dg1d.vreshape(flx_Em1, LL) invdetJ = dg1d.vreshape(invdetJ, LL) - v = dg1d.vreshape(v, LL) # compute entropy residual @turbo @. flx_Em1 += flx_E @@ -78,6 +78,7 @@ function callback_equation(state_t, isperiodic, eq::Equation, mesh::Mesh1d{FVEle Em1 .= E flx_Em1 .= flx_E dg1d.new_broadcast_volume!(entropy_variables, eq, mesh) + dg1d.new_broadcast_volume!(maxspeed, eq, mesh) end @@ -103,12 +104,13 @@ function callback_hrsc(state_u, state_t, env, P, isperiodic, hrsc::HRSC.Abstract @unpack D, S, tau = get_dynamic_variables(cache) @unpack t, tm1 = get_global_variables(cache) - max_v = cellmax_v - t[1] <= 0.0 && tm1[1] <= 0 && return - Npts, K = layout(mesh) - mat_max_v = reshape(view(v, :), (Npts, K)) - for k = 1:K - max_v[k] = maximum(view(mat_max_v, :, k)) + # prevent AV recomputation when callbacks are forced on initial data + # need this for shock tube tests so that we have non-zero viscosity in troublesome places + # although we start with smoothed initial data + t[1] <= tm1[1] && return + + for (k,vi) in enumerate(eachcell(mesh, max_v)) + cellmax_v[k] = maximum(vi) end HRSC.compute_viscosity!( diff --git a/src/SRHD/cons2prim.jl b/src/SRHD/cons2prim.jl index 7902f6b3..d8f99cc9 100644 --- a/src/SRHD/cons2prim.jl +++ b/src/SRHD/cons2prim.jl @@ -11,7 +11,7 @@ atm_threshold = equation.atmosphere.threshold rhomin = atm_density * atm_threshold - B = 1.0 # in special relativity + # B = 1.0 # in special relativity ##### # conservative variable fixing following Deppe et al. arXiv:2109.12033 @@ -19,17 +19,23 @@ fixed = false - if D < rhomin - # @warn "fixing D $D @ x = $x" + if D < rhomin || tau < 0.0 D = rhomin - fixed = true - end - - if tau < 0.0 - # @warn "fixing tau $tau @ x = $x" tau = 1e-12 fixed = true end + + # if D < 0.001 * rhomin + # # @warn "fixing D $D @ x = $x" + # D = rhomin + # fixed = true + # end + # + # if tau < 0.0 + # # @warn "fixing tau $tau @ x = $x" + # tau = 1e-12 + # fixed = true + # end # fix tau such that v < 0.999 # if tau < 0.0 # @warn "fixing tau $tau @ x = $x" @@ -40,33 +46,37 @@ # fixed = true # end - # (48)-(50) in arXiv:2109.12033 where we put B=0 - # that = tau / D - # muhat = 0 - # Solution to (52) when B=0 - # What = 1.0 + tau / D + # (48)-(50) in arXiv:2109.12033 we put B=0, ̂μ = 0 + # solution to (52) is then + What = 1.0 + tau / D + + S2 = S^2 + D2 = D^2 + ϵs = 1e-12 + factor = sqrt( (1.0-ϵs) * (What^2-1.0) * D2 / (S2 + D2 * 1e-16) ) + # @show factor, What + if factor < 1.0 && What > 1.0 + # @warn "fixing ..." + Sold = S + S = 0.99 * sign(S) * sqrt( (1.0-ϵs) * (What^2-1.0) * D2 - D2 * 1e-16 ) + # @warn "S = $Sold => $S @ x = $x" + S2 = S^2 + factor = max(1.0, sqrt( (1.0-ϵs) * (What^2-1.0) * D2 / (S2 + D2 * 1e-16) )) + # @show factor + @assert factor >= 1.0 + fixed = true + end + # h0 = 1e-3 # S2 = S^2 / B^2 - # factor = sqrt( (1.0-1e-12) * (What^2-1.0) * D^2 / (S2 + D^2 * 1e-16) ) - # if factor <= 1.0 - # @warn "fixing S $S @ x = $x" - # S = sign(S) * sqrt( (1.0-1e-12) * (What^2-1.0) * D^2 - D^2 * 5e-12 ) - # S2 = S^2 / B^2 - # factor = sqrt( (1.0-1e-12) * (What^2-1.0) * D^2 / (S2) ) - # @assert factor >= 1.0 - # fixed = true + # r2 = S2 / D^2 + # z02 = r2 / h0^2 + # v02 = z02 / (1.0 + z02) + # max_v2 = 0.999 + # if v02 > max_v2 + # S = sign(S) * sqrt(max_v2/(1-max_v2) * h0^2 * D^2) # end - h0 = 1e-3 - S2 = S^2 / B^2 - r2 = S2 / D^2 - z02 = r2 / h0^2 - v02 = z02 / (1.0 + z02) - max_v2 = 0.999 - if v02 > max_v2 - S = sign(S) * sqrt(max_v2/(1-max_v2) * h0^2 * D^2) - end - flag_consfixed = Float64(fixed) @returns D, S, tau, flag_consfixed @@ -78,7 +88,7 @@ end ####################################################################### -@with_signature [legacy=false] function cons2prim_kastaun(equation::AbstractEquation) +@with_signature [simd=false,legacy=false] function cons2prim_kastaun(equation::AbstractEquation) @accepts D, S, tau, x @unpack eos = equation @@ -88,7 +98,7 @@ end rhomax = Inf rhoatm = atm_density # epsmin adjusted for IdealGas - epsmin, epsmax = 1e-10, Inf + epsmin, epsmax = 0.0, Inf h0 = 1e-3 B = 1.0 # in special relativity @@ -109,7 +119,7 @@ end r = abs(ri) v0 = abs(v0i) - if v0 >= 1 + if v0 > 1 error((v0,z0i,Si,D)) end @@ -134,10 +144,31 @@ end if D < rhomin @warn "atmosphering I" + error((D,S,tau)) + + @assert eos isa EquationOfState.IdealGas + @unpack Gamma = eos + + # employ atmosphere values by taking the zero temperature limit + # for an ideal gas eos, we have that eos.Gamma becomes the Gamma for + # a polytrope, see grhd notes for derivation + rho = rhoatm - eps = eos.cold_eos(InternalEnergy, Density, rho) v = 0.0 - p = eos.cold_eos(Pressure, Density, rho) + W = 1.0 + # p = K * rho^Gamma + # eps = Gamma * rho^ + # D = W * rho + # S = rho * (1+eps+p/rho) * W^2 * v + # tau = rho * (1+eps+p/rho) * W^2 - p - D + + # if eos isa ColdEquationOfState + # eps = eos.cold_eos(InternalEnergy, Density, rho) + # p = eos.cold_eos(Pressure, Density, rho) + # else + # eps = eos(InternalEnergy, Density, rho) + # p = eos(Pressure, Density, rho) + # end else @@ -233,16 +264,16 @@ end # regularize velocity according to Dumbser et al arxiv:2307.06629 # eqs (82)-(84) y, y0 = rhohW2, 1e-4 - if y > y0 + # if y > y0 # v = S / mu # compute v accoriding to eq (68) or (40) [Kastaun] v = sign(Si) * min(mu * r, v0) - else - # @warn "limiting v" - # limit velocity ratio v/S - fy = 2.0 * (y/y0)^3 - 3.0 * (y/y0)^2 + 1.0 - v = Si * y / (y^2 + fy * 5e-9) - end + # else + # # @warn "limiting v" + # # limit velocity ratio v/S + # fy = 2.0 * (y/y0)^3 - 3.0 * (y/y0)^2 + 1.0 + # v = Si * y / (y^2 + fy * 5e-9) + # end # eq (68) or (40) # v = min(mu * r, v0) @@ -261,23 +292,38 @@ end # @assert v^2 < 1e-4 # end - if rho < rhomin || eps < epsmin - # @warn "atmosphering II @ x = $x ($rho, $eps)" - # atmosphering - rho, eps, v, W = max(rhomin, D), epsmin, 0.0, 1.0 - # rho, eps, v, W = rhomin, epsmin, 0.0, 1.0 - elseif rho > rhomax || eps > epsmax - @warn "rhomax || epsmax reached" - rho, eps, v = rhomax, epsmax, Si*mu/D + @assert rho > rhomin + if eps < epsmin + # adjusting tau such that energy density is within bounds + # cf. 3rd paragraph in sec. III.A in Kastaun paper + eps = epsmin + taub4 = tau + # invert this for tau: eps = W * (q - mu * r2) + v^2 * W^2 / (1.0 + W), q = tau / D + tau = (eps / W - v^2 * W / (1.0 + W) + mu * r2) * D end + # if rho < rhomin || eps < epsmin + # @warn "atmosphering II @ x = $x : (rho,eps) = ($rho, $eps)" + # flag_cons2prim_atm2 = 1 + # # atmosphering + # rho, eps, v, W = max(rhomin, D), epsmin, 0.0, 1.0 + # D = rho + # tau = + # # rho, eps, v, W = rhomin, epsmin, 0.0, 1.0 + # elseif rho > rhomax || eps > epsmax + # @warn "rhomax || epsmax reached" + # flag_cons2prim_atm2 = 1 + # rho, eps, v = rhomax, epsmax, Si*mu/D + # D = rho + # end # compute thermodynamic vars p = eos(Pressure, Density, rho, InternalEnergy, eps) - if p <= 0 + if p < 0 error((rho,eps)) end end - @returns rho, v, eps, p + # @returns D, S, tau, rho, v, eps, p + @returns tau, rho, v, eps, p end diff --git a/src/SRHD/equation.jl b/src/SRHD/equation.jl index fa68c416..8521d6cf 100644 --- a/src/SRHD/equation.jl +++ b/src/SRHD/equation.jl @@ -189,6 +189,15 @@ end end +@with_signature [legacy=false] function av_flux_covariant(equations::Equation) + @accepts rhs_D, rhs_S, rhs_tau, flx_D, flx_S, flx_tau, ldg_D, ldg_S, ldg_tau, smoothed_mu + flx_D += -smoothed_mu * (rhs_D - ldg_D) + flx_S += -smoothed_mu * (rhs_S - ldg_S) + flx_tau += -smoothed_mu * (rhs_tau - ldg_tau) + @returns flx_D, flx_S, flx_tau +end + + # @with_signature [legacy=false] function av_nflux(eq::Equation) # @accepts ldg_D, ldg_S, ldg_tau, smoothed_mu # @accepts [bdry] bdry_ldg_D, bdry_ldg_S, bdry_ldg_tau, bdry_smoothed_mu @@ -277,6 +286,45 @@ end end +@with_signature [legacy=false] function av_nflux_covariant(eq::Equation) + @accepts rhs_D, rhs_S, rhs_tau, ldg_D, ldg_S, ldg_tau, smoothed_mu + @accepts [bdry] bdry_rhs_D, bdry_rhs_S, bdry_rhs_tau, bdry_ldg_D, bdry_ldg_S, bdry_ldg_tau, bdry_smoothed_mu + @accepts [bdry] nflx_D, nflx_S, nflx_tau, nx + + nflx = -nx*(rhs_D - ldg_D) + bdry_nflx = -nx*(bdry_rhs_D - bdry_ldg_D) + nflx_D += 0.5 * (smoothed_mu*nflx + bdry_smoothed_mu*bdry_nflx) + + nflx = -nx*(rhs_S - ldg_S) + bdry_nflx = -nx*(bdry_rhs_S - bdry_ldg_S) + nflx_S += 0.5 * (smoothed_mu*nflx + bdry_smoothed_mu*bdry_nflx) + + nflx = -nx*(rhs_tau - ldg_tau) + bdry_nflx = -nx*(bdry_rhs_tau - bdry_ldg_tau) + nflx_tau += 0.5 * (smoothed_mu*nflx + bdry_smoothed_mu*bdry_nflx) + + @returns [bdry] nflx_D, nflx_S, nflx_tau +end +@with_signature function bdry_av_nflux_covariant(eq::Equation) + @accepts Prefix(lhs), ldg_D, ldg_S, ldg_tau, smoothed_mu + @accepts Prefix(rhs), ldg_D, ldg_S, ldg_tau, smoothed_mu + @accepts nflx_D, nflx_S, nflx_tau, nx + + TODO() + + lhs_nflx = nx*lhs_ldg_D + nflx_D += lhs_smoothed_mu*lhs_nflx + + lhs_nflx = nx*lhs_ldg_S + nflx_S += lhs_smoothed_mu*lhs_nflx + + lhs_nflx = nx*lhs_ldg_tau + nflx_tau += lhs_smoothed_mu*lhs_nflx + + @returns nflx_D, nflx_S, nflx_tau +end + + @with_signature [legacy=false] function fv_bdry_flux(equation::Equation) @accepts D, S, tau, v, p @accepts init_D, init_S, init_tau, init_v, init_p diff --git a/src/SRHD/initialdata.jl b/src/SRHD/initialdata.jl index 377269f4..c1bdd32a 100644 --- a/src/SRHD/initialdata.jl +++ b/src/SRHD/initialdata.jl @@ -6,6 +6,9 @@ function initialdata!(env, P::Project, prms, mesh::Mesh1d) initialdata_hrsc!(env, P, P.hrsc, prms, mesh) initialdata_tci!(env, P, P.tci, prms, mesh) initialdata_bdrycond!(env, P, dg1d.DirichletBC2(), mesh) + if get(P.prms, :id_smooth, false) + initialdata_smooth!(env, P, mesh) + end return end @@ -163,19 +166,16 @@ end function initialdata_equation_of_state( ::Val{:sod_shocktube}, eos::EquationOfState.IdealGas, mesh) - TODO() - + # from EFL paper: arxiv 2202.08839 @unpack x = get_static_variables(mesh.cache) (xmin, xmax), = mesh.extends @toggled_assert isapprox(xmin, -1.0) && isapprox(xmax, 1.0) - @toggled_assert eos.gamma == 5/3 + @toggled_assert eos.gamma ≈ 1.4 x0 = 0.0 - # Ï0 = [ (xi < x0) ? 1.0 : 0.125 for xi in x ] - # v0 = [ (xi < x0) ? 0.0 : 0.0 for xi in x ] - # p0 = [ (xi < x0) ? 1.0 : 0.1 for xi in x ] - - xl, xr = -0.5, 0.5 + Ï0 = [ (xi < x0) ? 1.0 : 0.125 for xi in x ] + v0 = [ (xi < x0) ? 0.0 : 0.0 for xi in x ] + p0 = [ (xi < x0) ? 1.0 : 0.1 for xi in x ] (Ï0, v0, p0) end @@ -225,7 +225,7 @@ function initialdata_equation_of_state( @unpack x = get_static_variables(mesh.cache) (xmin, xmax), = mesh.extends - @toggled_assert isapprox(xmin, -1.0) && isapprox(xmax, 1.0) + @toggled_assert isapprox(xmin, -0.5) && isapprox(xmax, 0.5) @toggled_assert eos.gamma == 5/3 x0 = 0.0 Ï0 = [ (xi < x0) ? 10.0 : 1.0 for xi in x ] @@ -242,7 +242,7 @@ function initialdata_equation_of_state( @unpack x = get_static_variables(mesh.cache) (xmin, xmax), = mesh.extends - @toggled_assert isapprox(xmin, -1.0) && isapprox(xmax, 1.0) + @toggled_assert isapprox(xmin, -0.5) && isapprox(xmax, 0.5) @toggled_assert eos.gamma == 5/3 x0 = 0.0 Ï0 = [ (xi < x0) ? 1.0 : 1.0 for xi in x ] @@ -430,7 +430,7 @@ function initialdata_hrsc!(env, P::Project, hrsc::Union{HRSC.EntropyViscosity,HR @unpack mu, cellmax_v = get_cell_variables(env.cache) @unpack max_v = get_static_variables(env.cache) - @unpack D = get_dynamic_variables(env.cache) + @unpack D, S, tau = get_dynamic_variables(env.cache) dg1d.new_broadcast_volume!(maxspeed, P.equation, env.mesh) Npts, K = layout(env.mesh) mat_max_v = reshape(view(max_v, :), (Npts, K)) @@ -438,8 +438,8 @@ function initialdata_hrsc!(env, P::Project, hrsc::Union{HRSC.EntropyViscosity,HR cellmax_v[k] = maximum(view(mat_max_v, :, k)) end HRSC.compute_viscosity!( - mu, - D, cellmax_v, + mu, deepcopy(mu), + (D,S,tau), cellmax_v, mda_hrsc.av) end @@ -516,3 +516,26 @@ function initialdata_bdrycond!(env, P::Project2d, bdrycond::dg1d.DirichletBC2, m init_flx_tau_y .= flx_tau_y init_max_v .= max_v end + + +####################################################################### +# Initial data smoothing # +####################################################################### + + +initialdata_smooth!(env, P::Project, mesh::Mesh{FVElement}) = nothing +function initialdata_smooth!(env, P::Project, mesh) + !isregistered(mesh.cache, :mu) && return + @unpack D, S, tau = get_dynamic_variables(mesh.cache) + @unpack mu = get_cell_variables(mesh.cache) + bernstein = BernsteinReconstruction(mesh) + flag = zeros(mesh.K) + for k = 1:mesh.K + flag[k] = Float64(mu[k] > 0.0) + end + HRSC.reconstruct!(D, flag, bernstein, isperiodic=true) + HRSC.reconstruct!(S, flag, bernstein, isperiodic=true) + HRSC.reconstruct!(tau, flag, bernstein, isperiodic=true) + dg1d.new_broadcast_volume!(cons2prim_kastaun, P.equation, mesh) + dg1d.new_broadcast_volume!(maxspeed, P.equation, mesh) +end diff --git a/src/SRHD/rhs.jl b/src/SRHD/rhs.jl index 2ff0e524..f8bccd66 100644 --- a/src/SRHD/rhs.jl +++ b/src/SRHD/rhs.jl @@ -6,9 +6,9 @@ timestep(env, P, hrsc) = timestep(env, P, hrsc, env.mesh) function compute_maxspeed(mesh, equation, cache) - @unpack v = get_static_variables(cache) + @unpack max_v = get_static_variables(cache) dg1d.new_broadcast_volume!(maxspeed, equation, mesh) - vmax = dg1d.absolute_maximum(v) + vmax = dg1d.absolute_maximum(max_v) vmax_limit = 1e4 if vmax > vmax_limit @warn "Limiting timestep due to maximum speed exceeding $vmax_limit" @@ -31,15 +31,15 @@ dtfactor(mesh::Mesh1d{SpectralElement}) = mesh.element.N function timestep(env, P::Project, hrsc::HRSC.AbstractArtificialViscosity, mesh::Mesh1d) @unpack cache, mesh = env @unpack equation = P + @unpack max_v = get_static_variables(cache) # dg1d.new_broadcast_volume!(conservative_fixing, equation, mesh) - dg1d.new_broadcast_volume!(cons2prim_kastaun, equation, mesh) - dg1d.new_broadcast_volume!(maxspeed, equation, mesh) - max_v = get_variable(cache, :max_v) + # dg1d.new_broadcast_volume!(cons2prim_kastaun, equation, mesh) + # dg1d.new_broadcast_volume!(maxspeed, equation, mesh) vmax = dg1d.absolute_maximum(view(max_v,:)) - vmax_limit = 0.99 + vmax_limit = 0.9999999 if vmax > vmax_limit - @warn "Limiting timestep due to maximum speed exceeding $vmax_limit" + @warn "Limiting timestep due to maximum speed $vmax exceeding $vmax_limit" vmax = vmax_limit end smoothed_mu = get_variable(cache, :smoothed_mu) @@ -206,11 +206,53 @@ function rhs!(env, P::Project, hrsc::HRSC.AbstractReconstruction, end +function fd_diff_1d!(_df, _f, _x, mesh) + @unpack Npts = mesh.element + for (df, f, x) in zip(eachcell(mesh,_df),eachcell(mesh,_f),eachcell(mesh,_x)) + for n in 2:Npts-1 + fl,fm,fr = f[n-1],f[n],f[n+1] + xl,xm,xr = x[n-1],x[n],x[n+1] + dll = (xm-xr)/((xl-xm)*(xl-xr)) + dlm = (2*xm-xl-xr)/((xm-xl)*(xm-xr)) + dlr = (xm-xl)/((xr-xl)*(xr-xm)) + df[n] = fl*dll + fm*dlm + fr*dlr + end + fl,fm,fr = f[1],f[2],f[3] + xl,xm,xr = x[1],x[2],x[3] + dll = (2*xl-xr-xm)/((xl-xm)*(xl-xr)) + dlm = (xl-xr)/((xm-xl)*(xm-xr)) + dlr = (xl-xm)/((xr-xl)*(xr-xm)) + df[1] = fl*dll + fm*dlm + fr*dlr + fl,fm,fr = f[Npts-2],f[Npts-1],f[Npts] + xl,xm,xr = x[Npts-2],x[Npts-1],x[Npts] + dll = (xr-xm)/((xl-xm)*(xl-xr)) + dlm = (xr-xl)/((xm-xl)*(xm-xr)) + dlr = (2*xr-xl-xm)/((xr-xl)*(xr-xm)) + df[Npts] = fl*dll + fm*dlm + fr*dlr + end +end + + function rhs!(env, P::Project, hrsc::HRSC.AbstractArtificialViscosity, bdryconds, ldg_bdryconds, av_bdryconds, ::Mesh1d) - @unpack cache, mesh = env - @unpack equation = P + @unpack cache, mesh = env + @unpack equation, prms = P + reg = prms.av_regularization + + if reg === :mono + rhs_mono!(cache, mesh, equation, P) + elseif reg === :covariant + rhs_covariant!(cache, mesh, equation, P) + else + TODO(reg) + end + +end + + +function rhs_mono!(cache, mesh, equation, P) + @unpack D, S, tau = get_dynamic_variables(cache) @unpack flx_D, flx_S, flx_tau, ldg_D, ldg_S, ldg_tau, @@ -224,6 +266,7 @@ function rhs!(env, P::Project, hrsc::HRSC.AbstractArtificialViscosity, bdry_ldg_D, bdry_ldg_S, bdry_ldg_tau, bdry_smoothed_mu = get_bdry_variables(cache) + @unpack x = get_static_variables(cache) ## solve auxiliary equation: q + ∂x u = 0 dg1d.new_broadcast_faces!(ldg_nflux, equation, mesh) @@ -232,7 +275,12 @@ function rhs!(env, P::Project, hrsc::HRSC.AbstractArtificialViscosity, compute_rhs_weak_form!(ldg_D, D, nflx_D, mesh) compute_rhs_weak_form!(ldg_S, S, nflx_S, mesh) compute_rhs_weak_form!(ldg_tau, tau, nflx_tau, mesh) + # fd_diff_1d!(ldg_D, D, x, mesh) + # fd_diff_1d!(ldg_S, S, x, mesh) + # fd_diff_1d!(ldg_tau, tau, x, mesh) + + # dg1d.new_broadcast_volume!(conservative_fixing, equation, mesh) dg1d.new_broadcast_volume!(cons2prim_kastaun, equation, mesh) dg1d.new_broadcast_volume!(maxspeed, equation, mesh) @@ -270,6 +318,85 @@ function rhs!(env, P::Project, hrsc::HRSC.AbstractArtificialViscosity, end +function rhs_covariant!(cache, mesh, equation, P) + + @unpack D, S, tau = get_dynamic_variables(cache) + @unpack flx_D, flx_S, flx_tau, + ldg_D, ldg_S, ldg_tau, + smoothed_mu, max_v, + rho, v, eps, p = get_static_variables(cache) + @unpack rhs_D, rhs_S, rhs_tau = get_rhs_variables(cache) + @unpack nflx_D, nflx_S, nflx_tau, + bdry_D, bdry_S, bdry_tau, + bdry_rho, bdry_v, bdry_eps, + bdry_p, bdry_max_v, + bdry_ldg_D, bdry_ldg_S, bdry_ldg_tau, + bdry_rhs_D, bdry_rhs_S, bdry_rhs_tau, + bdry_smoothed_mu = get_bdry_variables(cache) + @unpack x = get_static_variables(cache) + + # compute rhs for ∂t u + ∂x f(x) = 0 + + # dg1d.new_broadcast_volume!(conservative_fixing, equation, mesh) + dg1d.new_broadcast_volume!(cons2prim_kastaun, equation, mesh) + dg1d.new_broadcast_volume!(maxspeed, equation, mesh) + + dg1d.interpolate_face_data!(mesh, D, bdry_D) + dg1d.interpolate_face_data!(mesh, S, bdry_S) + dg1d.interpolate_face_data!(mesh, tau, bdry_tau) + dg1d.interpolate_face_data!(mesh, max_v, bdry_max_v) + dg1d.interpolate_face_data!(mesh, rho, bdry_rho) + dg1d.interpolate_face_data!(mesh, v, bdry_v) + dg1d.interpolate_face_data!(mesh, eps, bdry_eps) + dg1d.interpolate_face_data!(mesh, p, bdry_p) + + dg1d.new_broadcast_volume!(flux, equation, mesh) + + # numerical fluxes + dg1d.new_broadcast_faces!(llf, equation, mesh) + dg1d.new_broadcast_bdry!(bdryllf, equation, mesh) + + compute_rhs_weak_form!(rhs_D, flx_D, nflx_D, mesh) + compute_rhs_weak_form!(rhs_S, flx_S, nflx_S, mesh) + compute_rhs_weak_form!(rhs_tau, flx_tau, nflx_tau, mesh) + + # now compute rhs for ∂t u + ∂x f(x) = ∂x( μ (-∂t+∂x) u ) + + ## solve auxiliary equation: q + ∂x u = 0 + dg1d.new_broadcast_faces!(ldg_nflux, equation, mesh) + dg1d.new_broadcast_bdry!(ldg_bdryllf, equation, mesh) + compute_rhs_weak_form!(ldg_D, D, nflx_D, mesh) + compute_rhs_weak_form!(ldg_S, S, nflx_S, mesh) + compute_rhs_weak_form!(ldg_tau, tau, nflx_tau, mesh) + # fd_diff_1d!(ldg_D, D, x, mesh) + # fd_diff_1d!(ldg_S, S, x, mesh) + # fd_diff_1d!(ldg_tau, tau, x, mesh) + + # need to recompute, because ldg computation overwrites nflx_{D,S,tau} + # numerical fluxes + dg1d.new_broadcast_faces!(llf, equation, mesh) + dg1d.new_broadcast_bdry!(bdryllf, equation, mesh) + + dg1d.new_broadcast_volume!(av_flux_covariant, equation, mesh) + + dg1d.interpolate_face_data!(mesh, ldg_D, bdry_ldg_D) + dg1d.interpolate_face_data!(mesh, ldg_S, bdry_ldg_S) + dg1d.interpolate_face_data!(mesh, ldg_tau, bdry_ldg_tau) + dg1d.interpolate_face_data!(mesh, rhs_D, bdry_rhs_D) + dg1d.interpolate_face_data!(mesh, rhs_S, bdry_rhs_S) + dg1d.interpolate_face_data!(mesh, rhs_tau, bdry_rhs_tau) + dg1d.interpolate_face_data!(mesh, smoothed_mu, bdry_smoothed_mu) + + dg1d.new_broadcast_faces!(av_nflux_covariant, equation, mesh) + + compute_rhs_weak_form!(rhs_D, flx_D, nflx_D, mesh) + compute_rhs_weak_form!(rhs_S, flx_S, nflx_S, mesh) + compute_rhs_weak_form!(rhs_tau, flx_tau, nflx_tau, mesh) + + return +end + + ####################################################################### # 2d # ####################################################################### diff --git a/src/SRHD/setup.jl b/src/SRHD/setup.jl index f6658523..f7efa9bb 100644 --- a/src/SRHD/setup.jl +++ b/src/SRHD/setup.jl @@ -9,7 +9,8 @@ function Project(env::Environment, prms, mesh::Mesh1d) tci = TCI.make_TCI(env.mesh, prms["TCI"]) hrsc = HRSC.make_HRSC(env.mesh, prms["HRSC"]) - P = Project(equation, hrsc, tci) + fixedprms = (; av_regularization=:covariant, id_smooth=true) + P = Project(equation, hrsc, tci, fixedprms) # register variables # TODO Somehow replace _register_variables! with register_variables! @@ -55,7 +56,7 @@ function Project(env::Environment, prms, mesh::Mesh2d) # TODO Somehow replace _register_variables! with register_variables! @unpack cache = env _register_variables!(mesh, P) - _register_variables!(mesh, hrsc) + _register_variables!(mesh, hrsc, nothing) _register_variables!(mesh, bdrycond) display(cache) @@ -108,23 +109,23 @@ function _register_variables!(mesh::Mesh, P::Project) cell_variablenames = (:cellmax_v,), global_variablenames = (:t, :tm1) # time steps ) - _register_variables!(mesh, P.hrsc) + _register_variables!(mesh, P.hrsc, P.prms) _register_variables!(mesh, P.tci) @unpack x = get_static_variables(mesh.cache) # @. x = env.mesh.x[:] end -function _register_variables!(mesh, tci_or_hrsc::Nothing) end +function _register_variables!(mesh, tci_or_hrsc::Nothing, args...) end -_register_variables!(mesh, hrsc::AbstractHRSC) = +_register_variables!(mesh, hrsc::AbstractHRSC, prms) = error("_register_variables: Not implemented for hrsc of type '$(typeof(hrsc))'") -_register_variables!(mesh, hrsc::HRSC.AbstractReconstruction) = nothing +_register_variables!(mesh, hrsc::HRSC.AbstractReconstruction, prms) = nothing -function _register_variables!(mesh, hrsc::HRSC.AbstractArtificialViscosity) +function _register_variables!(mesh, hrsc::HRSC.AbstractArtificialViscosity, prms) register_variables!(mesh.cache, static_variablenames = (:ldg_D, :ldg_S, :ldg_tau, :flx_ldg_D, :flx_ldg_S, :flx_ldg_tau), @@ -133,17 +134,23 @@ function _register_variables!(mesh, hrsc::HRSC.AbstractArtificialViscosity) end -function _register_variables!(mesh, hrsc::HRSC.SmoothedArtificialViscosity) - _register_variables!(mesh, hrsc.av) +function _register_variables!(mesh, hrsc::HRSC.SmoothedArtificialViscosity, prms) + _register_variables!(mesh, hrsc.av, prms) register_variables!(mesh.cache, static_variablenames = (:smoothed_mu,), bdry_variablenames = (:bdry_ldg_D, :bdry_ldg_S, :bdry_ldg_tau, :bdry_smoothed_mu), ) + reg = prms.av_regularization + if reg == :covariant + register_variables!(mesh.cache, + bdry_variablenames = (:bdry_rhs_D, :bdry_rhs_S, :bdry_rhs_tau) + ) + end end -function _register_variables!(mesh::Mesh2d, hrsc::HRSC.EntropyViscosity) +function _register_variables!(mesh::Mesh2d, hrsc::HRSC.EntropyViscosity, prms) register_variables!(mesh.cache, static_variablenames = (:E, :Em1, :flx_E_x, :flx_E_y, :flxm1_E_x, :flxm1_E_y, :ldg_D_x, :ldg_D_y, :ldg_Sx_x, :ldg_Sx_y, diff --git a/src/SRHD/types.jl b/src/SRHD/types.jl index ea57c51b..c4069282 100644 --- a/src/SRHD/types.jl +++ b/src/SRHD/types.jl @@ -21,11 +21,13 @@ end struct Project{T_HRSC <:Maybe{HRSC.AbstractHRSC}, - T_TCI <:Maybe{TCI.AbstractTCI}} + T_TCI <:Maybe{TCI.AbstractTCI}, + T_Prms} equation::Equation hrsc::T_HRSC tci::T_TCI + prms::T_Prms end diff --git 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