An upwind second-order scheme for compressible duct flows
SIAM Journal on Scientific and Statistical Computing
The generalized Riemann problem for reactive flows
Journal of Computational Physics
SIAM Journal on Mathematical Analysis
On Godunov-type methods near low densities
Journal of Computational Physics
Numerical solution of the Riemann problem for two-dimensional gas dynamics
SIAM Journal on Scientific Computing
Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
SIAM Journal on Scientific Computing
Remark on the generalized Riemann problem method for compressible fluid flows
Journal of Computational Physics
Solvers for the high-order Riemann problem for hyperbolic balance laws
Journal of Computational Physics
Implementation of the GRP scheme for computing radially symmetric compressible fluid flows
Journal of Computational Physics
An adaptive GRP scheme for compressible fluid flows
Journal of Computational Physics
Development of an improved spatial reconstruction technique for the HLL method and its applications
Journal of Computational Physics
A direct Eulerian GRP scheme for relativistic hydrodynamics: Two-dimensional case
Journal of Computational Physics
The adaptive GRP scheme for compressible fluid flows over unstructured meshes
Journal of Computational Physics
The generalized Riemann problems for compressible fluid flows: Towards high order
Journal of Computational Physics
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
Journal of Computational Physics
Hi-index | 31.49 |
A direct Eulerian generalized Riemann problem (GRP) scheme is derived for compressible fluid flows. Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem (GRP) directly for the Eulerian formulation. The crucial auxiliary Lagrangian scheme in the original GRP scheme is not necessary in the present framework. The delicate sonic cases can be easily treated and the extension to multidimensional cases is obtained using the dimensional splitting technique.