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DG approximation of purely diffusive problems
DG approximation of the NavierStokes equations
15 other sections not shown
adjoint consistent adjoint problem advection equation analysis approximation basis functions boundary conditions coefficients compressible Navier-Stokes equations conservation laws consider constant convection defined degrees of freedom denotes DG discretization DG method diffusion Dirichlet boundary conditions discontinuous Galerkin discretization discontinuous Galerkin method discretisation DOFs Euler equations exact solution Figure finite element method finite volume method flow flux points formulation function space given grid cell high order high-order inflow integral interior penalty interpolation inviscid iterative L2-norm linear advection equation Mach number matrix mesh monotone schemes Navier-Stokes equations NIPG nodal nodes nonlinear numerical flux obtained order of convergence order scheme parameter Phys piecewise Poisson's equation polynomial properties quadrature points residual distribution schemes Riemann scalar SD method SD schemes second order SIPG solver space-time spectral volume stability target functional Theorem triangle unsteady unstructured grids upwind variables vector velocity viscous