From 2e105ecc43ec3f417372fdf49078cdfd8d962ce0 Mon Sep 17 00:00:00 2001 From: Florian Atteneder <florian.atteneder@uni-jena.de> Date: Fri, 21 Jun 2024 11:26:57 +0000 Subject: [PATCH] GRHD: more specific boundry conditions [only incorporated for FV+slope_limiter] (https://git.tpi.uni-jena.de/dg/dg1d.jl/-/merge_requests/179) This adds new options under `GRHD.bc`: - `tov_reflective_origin`: impose reflection symmetry at coordinate origin, impose vacuum values at outer bdry - `tov_symmetric_domain`: impose vacuum values at both domain boundary ends Also streamlined the setup of the bdry values for FV. While doing so I realized that the inflow bdry in the Bondi test was wrongly treated. There we cannot extrapolate interior data, nor just copy what we have in the interior, unless we are very far out (which in my test we aren't). Instead, what we do now there is use the initial data, which is the analytical solution and extrapolate that. This improves the behavior of the solution to no longer drift after the first time step. Nice. --- src/GRHD/GRHD.jl | 10 +- src/GRHD/initialdata.jl | 24 ++- src/GRHD/rhs.jl | 155 +++++++++++++----- src/GRHD/setup.jl | 6 + ...inmod_marquina_grhd_tov_doublecartoon.toml | 2 +- .../fv_minmod_roe_grhd_tov_doublecartoon.toml | 2 +- .../output1d.h5 | Bin 201528 -> 201528 bytes 7 files changed, 147 insertions(+), 52 deletions(-) diff --git a/src/GRHD/GRHD.jl b/src/GRHD/GRHD.jl index 6891b3fc..ed28be39 100644 --- a/src/GRHD/GRHD.jl +++ b/src/GRHD/GRHD.jl @@ -62,11 +62,15 @@ dg1d.@parameters GRHD begin """ Available options: - - `periodic` + - `tov_reflective_origin`: for `id = tov` use reflection symmetry across coordinate origin; + requires `range = [ 0, R ]` where `R` shall be larger than the star's radius; + at the outer boundary we impose vacuum variables + - `tov_symmetric_domain`: for `id = tov` to impose vacuum values on both ends; + requires `range = [ -R, R ]` where `R` shall be larger than the star's radius - `from_id` """ - bc = "periodic" - @check bc in [ "periodic", "from_id" ] + bc = "from_id" + @check bc in [ "tov_reflective_origin", "tov_symmetric_domain", "from_id" ] """ Available options: diff --git a/src/GRHD/initialdata.jl b/src/GRHD/initialdata.jl index 87f7fd67..5268e247 100644 --- a/src/GRHD/initialdata.jl +++ b/src/GRHD/initialdata.jl @@ -77,7 +77,7 @@ function initialdata_equation!(::Val{:bondi_accretion}, env, P::Project{:valenci @unpack rD, rSr, rÏ„ = get_dynamic_variables(mesh.cache) @unpack D, Sr, Ï„, Ï, p, ϵ, vr, r, max_v, - init_D, init_Sr, init_Ï„, init_vr, init_p, + init_D, init_Sr, init_Ï„, init_vr, init_p, init_Ï, init_ϵ, init_max_v = get_static_variables(mesh.cache) @unpack α, βru, ∂αr, ∂βrrdu, sqrt_detγ, γrr, γθθ, γϕϕ, ∂γrrr, ∂γrθθ, ∂γrϕϕ, ∂γθϕϕ, @@ -175,6 +175,8 @@ function initialdata_equation!(::Val{:bondi_accretion}, env, P::Project{:valenci @. init_vr = vr @. init_p = p @. init_max_v = max_v + @. init_Ï = Ï + @. init_ϵ = ϵ return end @@ -187,7 +189,7 @@ function initialdata_equation!(::Val{:bondi_accretion}, env, P::Project{:spheric @unpack D, Sr, Ï„ = get_dynamic_variables(mesh.cache) @unpack r, max_v, - init_D, init_Sr, init_Ï„, init_vr, init_p, + init_D, init_Sr, init_Ï„, init_vr, init_p, init_Ï, init_ϵ, init_max_v = get_static_variables(mesh.cache) @unpack α, βru, ∂αr, ∂βrrdu, γrr, γθθ, γϕϕ, ∂γrrr, ∂γrθθ, ∂γrϕϕ, ∂γθϕϕ, @@ -295,6 +297,8 @@ function initialdata_equation!(::Val{:bondi_accretion}, env, P::Project{:spheric @. init_vr = vr @. init_p = p @. init_max_v = max_v + @. init_Ï = Ï + @. init_ϵ = ϵ return end @@ -307,7 +311,7 @@ function initialdata_equation!(::Val{:bondi_accretion_infall}, env, P::Project{: @unpack D, Sr, Ï„ = get_dynamic_variables(mesh.cache) @unpack r, max_v, - init_D, init_Sr, init_Ï„, init_vr, init_p, + init_D, init_Sr, init_Ï„, init_vr, init_p, init_Ï, init_ϵ, init_max_v = get_static_variables(mesh.cache) @unpack α, βru, ∂αr, ∂βrrdu, γrr, γθθ, γϕϕ, ∂γrrr, ∂γrθθ, ∂γrϕϕ, ∂γθϕϕ, @@ -418,6 +422,8 @@ function initialdata_equation!(::Val{:bondi_accretion_infall}, env, P::Project{: @. init_vr = vr @. init_p = p @. init_max_v = max_v + @. init_Ï = Ï + @. init_ϵ = ϵ let ref_Ï=Ï @unpack Ï = get_static_variables(mesh) @@ -486,7 +492,7 @@ function initialdata_equation!(::Val{:tov}, env, P::Project{:valencia1d}, prms) @unpack rD, rSr, rÏ„ = get_dynamic_variables(mesh.cache) @unpack D, Sr, Ï„, Ï, p, ϵ, vr, r, max_v, - init_D, init_Sr, init_Ï„, init_vr, init_p, + init_D, init_Sr, init_Ï„, init_vr, init_p, init_Ï, init_ϵ, init_max_v = get_static_variables(mesh.cache) @unpack α, βru, ∂αr, ∂βrrdu, sqrt_detγ, γrr, γθθ, γϕϕ, ∂γrrr, ∂γrθθ, ∂γrϕϕ, ∂γθϕϕ, @@ -652,6 +658,8 @@ function initialdata_equation!(::Val{:tov}, env, P::Project{:valencia1d}, prms) @. init_vr = vr @. init_p = p @. init_max_v = max_v + @. init_Ï = Ï + @. init_ϵ = ϵ end @@ -672,7 +680,7 @@ function initialdata_equation!(::Val{:tov}, env, P::Project{:spherical1d}, prms) @unpack D, Sr, Ï„ = get_dynamic_variables(mesh.cache) @unpack Ï, p, ϵ, vr, r, max_v, - init_D, init_Sr, init_Ï„, init_vr, init_p, + init_D, init_Sr, init_Ï„, init_vr, init_p, init_Ï, init_ϵ, init_max_v = get_static_variables(mesh.cache) @unpack α, βru, ∂αr, ∂βrrdu, γrr, γθθ, γϕϕ, ∂γrrr, ∂γrθθ, ∂γrϕϕ, ∂γθϕϕ, @@ -830,6 +838,8 @@ function initialdata_equation!(::Val{:tov}, env, P::Project{:spherical1d}, prms) @. init_vr = vr @. init_p = p @. init_max_v = max_v + @. init_Ï = Ï + @. init_ϵ = ϵ end @@ -851,7 +861,7 @@ function initialdata_equation!(::Val{:tov}, env, P::Project{:rescaled_spherical1 @unpack rD, rSr, rÏ„ = get_dynamic_variables(mesh.cache) @unpack Ï, p, ϵ, vr, r, max_v, D, Sr, Ï„, - init_D, init_Sr, init_Ï„, + init_D, init_Sr, init_Ï„, init_Ï, init_ϵ, init_vr, init_p, init_max_v = get_static_variables(mesh.cache) @unpack A, ∂Ar, B, ∂Br, γrr = get_static_variables(mesh.cache) @@ -980,6 +990,8 @@ function initialdata_equation!(::Val{:tov}, env, P::Project{:rescaled_spherical1 @. init_vr = vr @. init_p = p @. init_max_v = max_v + @. init_Ï = Ï + @. init_ϵ = ϵ end diff --git a/src/GRHD/rhs.jl b/src/GRHD/rhs.jl index 73e7c818..357a65e8 100644 --- a/src/GRHD/rhs.jl +++ b/src/GRHD/rhs.jl @@ -375,31 +375,65 @@ function step_fv_slope_limiter!(mesh, P::Project{:spherical1d}, state) dl = L/K id = P.prmsdb["GRHD"]["id"] + bc = P.prmsdb["GRHD"]["bc"] if id == "bondi_accretion" - @unpack r = get_static_variables(mesh) - dr = r[2]-r[1] - bdry_γrr_l, bdry_γrr_ll = extrapolate_quadratic(γrr, r, 1:3, r[1]-dr, r[1]-2*dr) - bdry_α_l, bdry_α_ll = extrapolate_quadratic(α, r, 1:3, r[1]-dr, r[1]-2*dr) - bdry_βru_l, bdry_βru_ll = extrapolate_quadratic(βru, r, 1:3, r[1]-dr, r[1]-2*dr) - bdry_Ï_l, bdry_Ï_ll = extrapolate_quadratic(Ï, r, 1:3, r[1]-dr, r[1]-2*dr) - bdry_vr_l, bdry_vr_ll = extrapolate_quadratic(vr, r, 1:3, r[1]-dr, r[1]-2*dr) - bdry_ϵ_l, bdry_ϵ_ll = extrapolate_quadratic(ϵ, r, 1:3, r[1]-dr, r[1]-2*dr) + if bc == "from_id" + @unpack init_Ï, init_vr, init_ϵ, r = get_static_variables(mesh) + dr = r[2]-r[1] + bdry_γrr_l, bdry_γrr_ll = extrapolate_quadratic(γrr, r, 1:3, r[1]-dr, r[1]-2*dr) + bdry_α_l, bdry_α_ll = extrapolate_quadratic(α, r, 1:3, r[1]-dr, r[1]-2*dr) + bdry_βru_l, bdry_βru_ll = extrapolate_quadratic(βru, r, 1:3, r[1]-dr, r[1]-2*dr) + bdry_Ï_l, bdry_Ï_ll = extrapolate_quadratic(Ï, r, 1:3, r[1]-dr, r[1]-2*dr) + bdry_vr_l, bdry_vr_ll = extrapolate_quadratic(vr, r, 1:3, r[1]-dr, r[1]-2*dr) + bdry_ϵ_l, bdry_ϵ_ll = extrapolate_quadratic(ϵ, r, 1:3, r[1]-dr, r[1]-2*dr) + bdry_γrr_r, bdry_γrr_rr = extrapolate_quadratic(γrr, r, K-2:K, r[K]+dr, r[K]+2*dr) + bdry_α_r, bdry_α_rr = extrapolate_quadratic(α, r, K-2:K, r[K]+dr, r[K]+2*dr) + bdry_βru_r, bdry_βru_rr = extrapolate_quadratic(βru, r, K-2:K, r[K]+dr, r[K]+2*dr) + # only outer boundary is inflow bdry + bdry_Ï_r, bdry_Ï_rr = extrapolate_quadratic(init_Ï, r, K-2:K, r[K]+dr, r[K]+2*dr) + bdry_vr_r, bdry_vr_rr = extrapolate_quadratic(init_vr, r, K-2:K, r[K]+dr, r[K]+2*dr) + bdry_ϵ_r, bdry_ϵ_rr = extrapolate_quadratic(init_ϵ, r, K-2:K, r[K]+dr, r[K]+2*dr) + else + TODO("unknown boundary conditions for initial data $id: $bc") + end elseif id == "tov" - bdry_γrr_l, bdry_γrr_ll = γrr[1], γrr[2] - bdry_α_l, bdry_α_ll = α[1], α[2] - bdry_βru_l, bdry_βru_ll = -βru[1], -βru[2] - bdry_Ï_l, bdry_Ï_ll = Ï[1], Ï[2] - bdry_vr_l, bdry_vr_ll = -vr[1], -vr[2] - bdry_ϵ_l, bdry_ϵ_ll = ϵ[1], ϵ[2] + if bc == "tov_reflective_origin" + bdry_γrr_l, bdry_γrr_ll = γrr[1], γrr[2] + bdry_α_l, bdry_α_ll = α[1], α[2] + bdry_βru_l, bdry_βru_ll = -βru[1], -βru[2] + bdry_Ï_l, bdry_Ï_ll = Ï[1], Ï[2] + bdry_vr_l, bdry_vr_ll = -vr[1], -vr[2] + bdry_ϵ_l, bdry_ϵ_ll = ϵ[1], ϵ[2] + bdry_γrr_r, bdry_γrr_rr = γrr[end], γrr[end] + bdry_α_r, bdry_α_rr = α[end], α[end] + bdry_βru_r, bdry_βru_rr = βru[end], βru[end] + bdry_Ï_r, bdry_Ï_rr = Ï[end], Ï[end] + bdry_vr_r, bdry_vr_rr = vr[end], vr[end] + bdry_ϵ_r, bdry_ϵ_rr = ϵ[end], ϵ[end] + elseif bc == "tov_symmetric_domain" + bdry_γrr_l, bdry_γrr_ll = γrr[1], γrr[end] + bdry_α_l, bdry_α_ll = α[1], α[end] + bdry_βru_l, bdry_βru_ll = βru[1], βru[end] + bdry_Ï_l, bdry_Ï_ll = Ï[1], Ï[end] + bdry_vr_l, bdry_vr_ll = vr[1], vr[end] + bdry_ϵ_l, bdry_ϵ_ll = ϵ[1], ϵ[end] + bdry_γrr_r, bdry_γrr_rr = γrr[end], γrr[end] + bdry_α_r, bdry_α_rr = α[end], α[end] + bdry_βru_r, bdry_βru_rr = βru[end], βru[end] + bdry_Ï_r, bdry_Ï_rr = Ï[end], Ï[end] + bdry_vr_r, bdry_vr_rr = vr[end], vr[end] + bdry_ϵ_r, bdry_ϵ_rr = ϵ[end], ϵ[end] + else + TODO("unknown boundary conditions for initial data $id: $bc") + end else - TODO("boundary conditions for initial data $id not implemented") - end - bγrr = BdryBufferedData(bdry_γrr_ll, bdry_γrr_l, γrr, γrr[end], γrr[end-1]) - bα = BdryBufferedData(bdry_α_ll, bdry_α_l, α, α[end], α[end-1]) - bβru = BdryBufferedData(bdry_βru_ll, bdry_βru_l, βru, βru[end], βru[end-1]) - bÏ = BdryBufferedData(bdry_Ï_ll, bdry_Ï_l, Ï, Ï[end], Ï[end-1]) - bvr = BdryBufferedData(bdry_vr_ll, bdry_vr_l, vr, vr[end], vr[end-1]) - bϵ = BdryBufferedData(bdry_ϵ_ll, bdry_ϵ_l, ϵ, ϵ[end], ϵ[end-1]) + end + bγrr = BdryBufferedData(bdry_γrr_ll, bdry_γrr_l, γrr, bdry_γrr_r, bdry_γrr_rr) + bα = BdryBufferedData(bdry_α_ll, bdry_α_l, α, bdry_α_r, bdry_α_rr) + bβru = BdryBufferedData(bdry_βru_ll, bdry_βru_l, βru, bdry_βru_r, bdry_βru_rr) + bÏ = BdryBufferedData(bdry_Ï_ll, bdry_Ï_l, Ï, bdry_Ï_r, bdry_Ï_rr) + bvr = BdryBufferedData(bdry_vr_ll, bdry_vr_l, vr, bdry_vr_r, bdry_vr_rr) + bϵ = BdryBufferedData(bdry_ϵ_ll, bdry_ϵ_l, ϵ, bdry_ϵ_r, bdry_ϵ_rr) bÏL = BdryBufferedData(0, 0, ÏL, 0, 0) bvrL = BdryBufferedData(0, 0, vrL, 0, 0) bϵL = BdryBufferedData(0, 0, ϵL, 0, 0) @@ -415,7 +449,7 @@ function step_fv_slope_limiter!(mesh, P::Project{:spherical1d}, state) bdϵ_m = BdryBufferedData(0, 0, dϵ_m, 0, 0) bdϵ_p = BdryBufferedData(0, 0, dϵ_p, 0, 0) @unpack max_v = get_static_variables(mesh) - bde_max_v = BdryBufferedData(max_v[1], max_v[1], max_v, max_v[end], max_v[end-1]) + bde_max_v = BdryBufferedData(max_v[1], max_v[1], max_v, max_v[end], max_v[end]) for vars in ( (bÏL,bÏR,bÏ,bdÏ_m,bdÏ_p), (bvrL,bvrR,bvr,bdvr_m,bdvr_p), @@ -458,9 +492,11 @@ function step_fv_slope_limiter!(mesh, P::Project{:spherical1d}, state) end # for the outer bdry conditions for the TOV star we cheat here - rhs_D[end] = 0 - rhs_Sr[end] = 0 - rhs_Ï„[end] = 0 + if bc == "tov_reflective_origin" + rhs_D[end] = rhs_Sr[end] = rhs_Ï„[end] = 0 + elseif bc == "tov_symmetric_domain" + rhs_D[1] = rhs_Sr[1] = rhs_Ï„[1] = rhs_D[end] = rhs_Sr[end] = rhs_Ï„[end] = 0 + end if !P.prmsdb["GRHD"]["atm_evolve"] broadcast_volume!(determine_atmosphere, P.equation, mesh) @@ -620,13 +656,47 @@ function step_fv_slope_limiter!(mesh, P::Project{:doublecartoon}, state) L, = dg1d.widths(mesh) dl = L/K - bγxx = BdryBufferedData(γxx[2], γxx[1], γxx, γxx[end], γxx[end-1]) - bα = BdryBufferedData(α[2], α[1], α, α[end], α[end-1]) - bβux = BdryBufferedData(-βux[2], -βux[1], βux, βux[end], βux[end-1]) - bsqrtdetγ = BdryBufferedData(sqrtdetγ[2], sqrtdetγ[1], sqrtdetγ, sqrtdetγ[end], sqrtdetγ[end-1]) - bÏ = BdryBufferedData(Ï[2], Ï[1], Ï, Ï[end], Ï[end-1]) - bvx = BdryBufferedData(-vx[2], -vx[1], vx, vx[end], vx[end-1]) - bϵ = BdryBufferedData(ϵ[2], ϵ[1], ϵ, ϵ[end], ϵ[end-1]) + bc = P.prmsdb["GRHD"]["bc"] + if bc == "tov_symmetric_domain" + bdry_γxx_l, bdry_γxx_ll = γxx[1], γxx[2] + bdry_α_l, bdry_α_ll = α[1], α[2] + bdry_βux_l, bdry_βux_ll = βux[1], βux[2] + bdry_sqrtdetγ_l, bdry_sqrtdetγ_ll = sqrtdetγ[1], sqrtdetγ[2] + bdry_Ï_l, bdry_Ï_ll = Ï[1], Ï[2] + bdry_vx_l, bdry_vx_ll = vx[1], vx[2] + bdry_ϵ_l, bdry_ϵ_ll = ϵ[1], ϵ[2] + bdry_γxx_r, bdry_γxx_rr = γxx[end], γxx[end] + bdry_α_r, bdry_α_rr = α[end], α[end] + bdry_βux_r, bdry_βux_rr = βux[end], βux[end] + bdry_sqrtdetγ_r, bdry_sqrtdetγ_rr = sqrtdetγ[end], sqrtdetγ[end] + bdry_Ï_r, bdry_Ï_rr = Ï[end], Ï[end] + bdry_vx_r, bdry_vx_rr = vx[end], vx[end] + bdry_ϵ_r, bdry_ϵ_rr = ϵ[end], ϵ[end] + elseif bc == "tov_reflective_origin" + bdry_γxx_l, bdry_γxx_ll = γxx[1], γxx[2] + bdry_α_l, bdry_α_ll = α[1], α[2] + bdry_βux_l, bdry_βux_ll = -βux[1], -βux[2] + bdry_sqrtdetγ_l, bdry_sqrtdetγ_ll = sqrtdetγ[1], sqrtdetγ[2] + bdry_Ï_l, bdry_Ï_ll = Ï[1], Ï[2] + bdry_vx_l, bdry_vx_ll = -vx[1], -vx[2] + bdry_ϵ_l, bdry_ϵ_ll = ϵ[1], ϵ[2] + bdry_γxx_r, bdry_γxx_rr = γxx[end], γxx[end] + bdry_α_r, bdry_α_rr = α[end], α[end] + bdry_βux_r, bdry_βux_rr = βux[end], βux[end] + bdry_sqrtdetγ_r, bdry_sqrtdetγ_rr = sqrtdetγ[end], sqrtdetγ[end] + bdry_Ï_r, bdry_Ï_rr = Ï[end], Ï[end] + bdry_vx_r, bdry_vx_rr = vx[end], vx[end] + bdry_ϵ_r, bdry_ϵ_rr = ϵ[end], ϵ[end] + else + TODO("implement boundary condition $bc") + end + bγxx = BdryBufferedData(bdry_γxx_ll, bdry_γxx_l, γxx, bdry_γxx_r, bdry_γxx_rr) + bα = BdryBufferedData(bdry_α_ll, bdry_α_l, α, bdry_α_r, bdry_α_rr) + bβux = BdryBufferedData(bdry_βux_ll, bdry_βux_l, βux, bdry_βux_r, bdry_βux_rr) + bsqrtdetγ = BdryBufferedData(bdry_sqrtdetγ_ll, bdry_sqrtdetγ_l, sqrtdetγ, bdry_sqrtdetγ_r, bdry_sqrtdetγ_rr) + bÏ = BdryBufferedData(bdry_Ï_ll, bdry_Ï_l, Ï, bdry_Ï_r, bdry_Ï_rr) + bvx = BdryBufferedData(bdry_vx_ll, bdry_vx_l, vx, bdry_vx_r, bdry_vx_rr) + bϵ = BdryBufferedData(bdry_ϵ_ll, bdry_ϵ_l, ϵ, bdry_ϵ_r, bdry_ϵ_rr) bÏL = BdryBufferedData(0, 0, ÏL, 0, 0) bvxL = BdryBufferedData(0, 0, vxL, 0, 0) bϵL = BdryBufferedData(0, 0, ϵL, 0, 0) @@ -687,9 +757,11 @@ function step_fv_slope_limiter!(mesh, P::Project{:doublecartoon}, state) end # for the outer bdry conditions for the TOV star we cheat here - rhs_rD[end] = 0 - rhs_rSx[end] = 0 - rhs_rÏ„[end] = 0 + if bc == "tov_reflective_origin" + rhs_rD[end] = rhs_rSx[end] = rhs_rÏ„[end] = 0 + elseif bc == "tov_symmetric_domain" + rhs_rD[1] = rhs_rSx[1] = rhs_rÏ„[1] = rhs_rD[end] = rhs_rSx[end] = rhs_rÏ„[end] = 0 + end if !P.prmsdb["GRHD"]["atm_evolve"] broadcast_volume!(determine_atmosphere, P.equation, mesh) @@ -754,6 +826,8 @@ end @unpack bγxx, bα, bβux, bsqrtdetγ, bÏ, bvx, bϵ, bÏL, bvxL, bϵL, bpL, bÏR, bvxR, bϵR, bpR, bdÏ_m, bdÏ_p, bdvx_m, bdvx_p, bdϵ_m, bdϵ_p, bde_max_v, nflx_rD_L, nflx_rSx_L, nflx_rÏ„_L, nflx_rD_R, nflx_rSx_R, nflx_rÏ„_R, eos = vars + R = MMatrix{5,5,Float64,25}(0 for _ in 1:25) + Δu, Δω, up_u = [ MVector{5,Float64}(0 for _ in 1:5) for _ in 1:4 ] for k in 1:K # numerical fluxes # subscript + ... cell interior value @@ -829,22 +903,21 @@ end # also see Font 2000, PRD 61 044011, eq 64, but only contains right eigenvectors # # here we assume vx=vz=0 and an isotropic metric - R = @SMatrix [ KK/(hâ‚€*Wâ‚€) 0.0 0.0 1.0 1.0; + R .= @SMatrix [ KK/(hâ‚€*Wâ‚€) 0.0 0.0 1.0 1.0; vxâ‚€ 0.0 0.0 hâ‚€*Wâ‚€*(vxâ‚€-(vuxâ‚€-Λp)/(γuuxxâ‚€-vuxâ‚€*Λp)) hâ‚€*Wâ‚€*(vxâ‚€-(vuxâ‚€-Λm)/(γuuxxâ‚€-vuxâ‚€*Λm)); 0.0 hâ‚€*γxxâ‚€ 0.0 0.0 0.0; 0.0 0.0 hâ‚€*γxxâ‚€ 0.0 0.0; 1.0-KK/(hâ‚€*Wâ‚€) 0.0 0.0 hâ‚€*Wâ‚€*(γuuxxâ‚€-vuxâ‚€*vuxâ‚€)/(γuuxxâ‚€-vuxâ‚€*Λp)-1.0 hâ‚€*Wâ‚€*(γuuxxâ‚€-vuxâ‚€*vuxâ‚€)/(γuuxxâ‚€-vuxâ‚€*Λm)-1.0 ] - u₊ = @SVector [ D₊, Sx₊, 0.0, 0.0, τ₊ ] - uâ‚‹ = @SVector [ Dâ‚‹, Sxâ‚‹, 0.0, 0.0, τ₋ ] - Δω = R \ (uâ‚‹-u₊) + Δu .= @SVector [ Dâ‚‹-D₊, Sxâ‚‹-Sx₊, 0.0, 0.0, τ₋-τ₊ ] + Δω .= R \ Δu # roe upwinding term # cf. Font 2000, PRD 61 044011, eq 64 # cf. Hesthaven 2018, Numerical methods for conservation laws, # sec. 3.2 - Riemann solver # sec. 6.2.1 - Roe flux - up_u = @. abs(λ0)*Δω[1]*R[:,1] + abs(λ0)*Δω[2]*R[:,2] + abs(λ0)*Δω[3]*R[:,3] + abs(λp)*Δω[4]*R[:,4] + abs(λm)*Δω[5]*R[:,5] + @views up_u .= @. abs(λ0)*Δω[1]*R[:,1] + abs(λ0)*Δω[2]*R[:,2] + abs(λ0)*Δω[3]*R[:,3] + abs(λp)*Δω[4]*R[:,4] + abs(λm)*Δω[5]*R[:,5] up_D, up_Sx, up_Ï„ = up_u[1], up_u[2], up_u[5] f₊, fâ‚‹ = sdγ₀*α₀*D₊*(vxu₊-βuxâ‚€/α₀), sdγ₀*α₀*Dâ‚‹*(vxuâ‚‹-βuxâ‚€/α₀) diff --git a/src/GRHD/setup.jl b/src/GRHD/setup.jl index 775ab6ad..02fbb313 100644 --- a/src/GRHD/setup.jl +++ b/src/GRHD/setup.jl @@ -138,6 +138,7 @@ function register_evolution!(mesh, P::Project{:valenciad1d}) :Ï, :vr, :p, :ϵ, # primitives :max_v, :r, # maximum charactersitic speed, radius :init_D, :init_Sr, :init_Ï„, :init_max_v, :init_vr, :init_p, + :init_Ï, :init_ϵ, :E, :Em1, :flr_E, :flr_Em1, :EP, :ÏhW2), bdry_variablenames = (:bdry_D, :bdry_Sr, :bdry_Ï„, @@ -160,6 +161,7 @@ function register_evolution!(mesh, P::Project{:spherical1d}) :Ï, :vr, :p, :ϵ, # primitives :max_v, :r, # maximum charactersitic speed, radius :init_D, :init_Sr, :init_Ï„, :init_max_v, :init_vr, :init_p, + :init_Ï, :init_ϵ, :E, :Em1, :flr_E, :flr_Em1, :EP, :ÏhW2), bdry_variablenames = (:bdry_D, :bdry_Sr, :bdry_Ï„, @@ -183,6 +185,7 @@ function register_evolution!(mesh::Mesh1d{FVElement}, P::Project{:spherical1d}) :Ï, :vr, :p, :ϵ, # primitives :max_v, :r, # maximum charactersitic speed, radius :init_D, :init_Sr, :init_Ï„, :init_max_v, :init_vr, :init_p, + :init_Ï, :init_ϵ, :E, :Em1, :flr_E, :flr_Em1, :EP, :ÏhW2), bdry_variablenames = (:bdry_D, :bdry_Sr, :bdry_Ï„, @@ -214,6 +217,7 @@ function register_evolution!(mesh::Mesh1d{FVElement}, P::Project{:spherical1d}) :max_v, :r, # maximum charactersitic speed, radius :E, :Em1, :flr_E, :flr_Em1, :EP, :init_D, :init_Sr, :init_Ï„, :init_max_v, :init_vr, :init_p, + :init_Ï, :init_ϵ, :ÏhW2), global_variablenames = (:t, :tm1) # time steps ) @@ -235,6 +239,7 @@ function register_evolution!(mesh, P::Project{:rescaled_spherical1d}) :Ï, :vr, :p, :ϵ, # primitives :max_v, :r, # maximum charactersitic speed, radius :init_D, :init_Sr, :init_Ï„, :init_max_v, :init_vr, :init_p, + :init_Ï, :init_ϵ, :E, :Em1, :flr_E, :flr_Em1, :EP, :ÏhW2), bdry_variablenames = (:bdry_D, :bdry_Sr, :bdry_Ï„, @@ -291,6 +296,7 @@ function register_evolution!(mesh::Mesh1d{FVElement}, P::Project{:doublecartoon} :D, :Sx, :Ï„, :max_v, :r, # maximum charactersitic speed, radius :init_D, :init_Sx, :init_Ï„, :init_max_v, :init_vx, :init_p, + :init_Ï, :init_ϵ, :buf_cartoon, :ÏhW2), bdry_variablenames = (:bdry_rD, :bdry_rSx, :bdry_rÏ„, :bdry_Ï, :bdry_ϵ, :bdry_vx, :bdry_p, diff --git a/test/IntegrationTests/refs/fv_minmod_marquina_grhd_tov_doublecartoon/fv_minmod_marquina_grhd_tov_doublecartoon.toml b/test/IntegrationTests/refs/fv_minmod_marquina_grhd_tov_doublecartoon/fv_minmod_marquina_grhd_tov_doublecartoon.toml index aed5aeef..7e5a15e1 100644 --- a/test/IntegrationTests/refs/fv_minmod_marquina_grhd_tov_doublecartoon/fv_minmod_marquina_grhd_tov_doublecartoon.toml +++ b/test/IntegrationTests/refs/fv_minmod_marquina_grhd_tov_doublecartoon/fv_minmod_marquina_grhd_tov_doublecartoon.toml @@ -4,7 +4,7 @@ polytrope_k = 100.0 polytrope_gamma = 2.0 [GRHD] -bc = "from_id" +bc = "tov_reflective_origin" id = "tov" formulation = "doublecartoon" id_filename = "$(joinpath(ROOTDIR,\"initialdata\",\"TOV_stable.h5\"))" diff --git a/test/IntegrationTests/refs/fv_minmod_roe_grhd_tov_doublecartoon/fv_minmod_roe_grhd_tov_doublecartoon.toml b/test/IntegrationTests/refs/fv_minmod_roe_grhd_tov_doublecartoon/fv_minmod_roe_grhd_tov_doublecartoon.toml index 72f68b90..6580da92 100644 --- a/test/IntegrationTests/refs/fv_minmod_roe_grhd_tov_doublecartoon/fv_minmod_roe_grhd_tov_doublecartoon.toml +++ b/test/IntegrationTests/refs/fv_minmod_roe_grhd_tov_doublecartoon/fv_minmod_roe_grhd_tov_doublecartoon.toml @@ -4,7 +4,7 @@ polytrope_k = 100.0 polytrope_gamma = 2.0 [GRHD] -bc = "from_id" +bc = "tov_reflective_origin" id = "tov" formulation = "doublecartoon" id_filename = "$(joinpath(ROOTDIR,\"initialdata\",\"TOV_stable.h5\"))" diff --git a/test/IntegrationTests/refs/fv_superbee_grhd_bondi_accretion/output1d.h5 b/test/IntegrationTests/refs/fv_superbee_grhd_bondi_accretion/output1d.h5 index d46e2cf78a0b786695539e95205fe36f35caeca7..9ef091fca03a0e6223b0b126cbae478c4357e44b 100644 GIT binary patch delta 42894 zcmYhDcRba7`@kKtqU@ClDLZ?G`jCo3OQB>FB9xL*9V2@uj<U+0$%>Y5NXR-?2+2xD zX$h73T_5-J+`s4k=RQZhy6@L3o$LL6U)Q&qT-KUg)(4dgbXwMz6A12rgrjNl6;6!G ztoRER8C+XPYcB}y4gb98<oVBwQQrT&Sm685i@*H4|M@v+(`AMK{CYtZ8iwcS*4~u1 zlqJNi=TGoBn!5H&vK{-+Pd{>;#7>^CyE2yJnS)Am3cB8y<{&W+Lrx>D9CYeU{nRhv z98{}i8~>g@2mQKdZNWO1jmn-j-*Tm9qaR;ff*BrWqoIv`<iV6|bnlR6|71WmijKQH zChnAtrno=-xOX@k#qUbGcw8kLMZAAgroK5FIgi}tK0%j_KED%K&6>@!L{D^BsN&sO zs6;K}``brZNMxp`xA|Tc()+#j?PPcsYSp<KsCY388L_GDDm$Hpem{1;X04lr91S9x zkW3chW77>f%#($#m40Q7`jd$Ut&<v;rZbV7vzvT;#ZEgxMsjl%Z`!St5Q3{i@m<g5 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