wip: add hybrid mesh

src/dg1d.jl

@@ -43,6 +43,7 @@ module dg1d
   include("spectralelement.jl")
   include("subvolumeelement.jl")
   include("mesh.jl")
+  include("hybridmesh.jl")
 
   # custom evolution
   include("evolve.jl")

src/dg_rhs.jl

-export compute_rhs_weak_form!, 
-       compute_rhs_strong_form!
+export compute_rhs_weak_form!,
+       compute_rhs_strong_form!,
+       compute_rhs_fv_form!
 
 
 """
@@ -55,3 +56,36 @@ function compute_rhs_strong_form!(rhs, f, s, nf_lhs, nf_rhs, mesh::AbstractMesh)
   rhs .+= s
   return
 end
+
+
+"""
+    compute_rhs_weak_form!(rhs, sv_flag, f, mesh::HybridMesh)
+    compute_rhs_weak_form!(rhs, sv_flag, f, s, mesh::HybridMesh)
+"""
+function compute_rhs_fv_form!(rhs, sv_flag, f, hybridmesh::HybridMesh)
+  @unpack mesh, sv_element = hybridmesh
+  @unpack invjac = mesh
+  shape        = layout(mesh)
+  mat_rhs      = reshape(view(rhs,:), shape)
+  mat_f        = reshape(view(f,:), shape)
+  Npts, K      = shape
+  for (k#=cell nr=#, flag) in enumerate(sv_flag)
+    flag == 0 && continue
+    for i = 1:Npts-1
+      mat_rhs[i,k] = - (mat_f[i+1,k] - mat_f[i,k]) / sv_element.w[i] * invjac[k]
+    end
+  end
+  return
+end
+function compute_rhs_fv_form!(rhs, sv_flag, f, s, hybridmesh::HybridMesh)
+  compute_rhs_weak_form!(rhs, tci_flag, f, hybridmesh)
+  shape        = layout(mesh)
+  mat_rhs = reshape(view(rhs,:), shape)
+  mat_s   = reshape(view(s,  :), shape)
+  for (k#=cell nr=#, flag) in enumerate(sv_flag)
+    flag == 0 && continue
+    mat_rhs[:,k] .+= mat_s[:,k]
+  end
+  rhs .+= s
+  return
+end

src/hybridmesh.jl

+struct HybridMesh <: AbstractMesh
+  mesh::Mesh
+  sv_element::SubVolumeElement
+
+  function HybridMesh(mesh::Mesh)
+    sv_element = SubVolumeElement(mesh.element)
+    return new(mesh, sv_element)
+  end
+end
+
+
+function Base.getproperty(hmesh::HybridMesh, p::Symbol)
+  if p in propertynames(hmesh.mesh)
+    return getproperty(hmesh.mesh, p)
+  else
+    getfield(hmesh.mesh, p)
+  end
+end