Journal of Computational Physics
On the Choice of Wavespeeds for the HLLC Riemann Solver
SIAM Journal on Scientific Computing
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains
Applied Numerical Mathematics
Journal of Computational Physics
Space-time discontinuous Galerkin method for nonlinear water waves
Journal of Computational Physics
hpGEM---A software framework for discontinuous Galerkin finite element methods
ACM Transactions on Mathematical Software (TOMS)
Journal of Computational Physics
Journal of Computational Physics
Spectral element method in time for rapidly actuated systems
Journal of Computational Physics
Journal of Computational Physics
A space--time discontinuous Galerkin method for the time-dependent Oseen equations
Applied Numerical Mathematics
Polymorphic nodal elements and their application in discontinuous Galerkin methods
Journal of Computational Physics
Journal of Computational Physics
Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations
Journal of Computational Physics
Journal of Computational Physics
Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations
Journal of Computational Physics
Space-time discontinuous Galerkin finite element method for two-fluid flows
Journal of Computational Physics
Applied Numerical Mathematics
Output-based space-time mesh adaptation for the compressible Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Time Implicit High-Order Discontinuous Galerkin Method with Reduced Evaluation Cost
SIAM Journal on Scientific Computing
A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations
Journal of Computational Physics
An accurate moving boundary formulation in cut-cell methods
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.54 |
A space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations is presented. We explain the space-time setting, derive the weak formulation and discuss our choices for the numerical fluxes. The resulting numerical method allows local grid adaptation as well as moving and deforming boundaries, which we illustrate by computing the flow around a 3D delta wing on an adapted mesh and by simulating the dynamic stall phenomenon of a 2D airfoil in rapid pitch-up maneuver.