Journal of Computational Physics
An upwind second-order scheme for compressible duct flows
SIAM Journal on Scientific and Statistical Computing
Errors for calculations of strong shocks using an artificial viscosity and artificial heat flux
Journal of Computational Physics
Vorticity errors in multidimensional Lagrangian codes
Journal of Computational Physics
Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
Journal of Computational Physics
Journal of Computational Physics
Formulations of artificial viscosity for multi-dimensional shock wave computations
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Good neighborhoods for multidimensional Van Leer limiting
Journal of Computational Physics
A tensor artificial viscosity using a mimetic finite difference algorithm
Journal of Computational Physics
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
Journal of Computational Physics
Remark on the generalized Riemann problem method for compressible fluid flows
Journal of Computational Physics
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
SIAM Journal on Scientific Computing
Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Journal of Computational Physics
Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
Journal of Computational Physics
Metric-based mesh adaptation for 2D Lagrangian compressible flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
The adaptive GRP scheme for compressible fluid flows over unstructured meshes
Journal of Computational Physics
Positivity-preserving Lagrangian scheme for multi-material compressible flow
Journal of Computational Physics
A Lagrangian staggered grid Godunov-like approach for hydrodynamics
Journal of Computational Physics
Hi-index | 31.52 |
We present a high-order cell-centered Lagrangian scheme for solving the two-dimensional gas dynamics equations on unstructured meshes. A node-based discretization of the numerical fluxes for the physical conservation laws allows to derive a scheme that is compatible with the geometric conservation law (GCL). Fluxes are computed using a nodal solver which can be viewed as a two-dimensional extension of an approximate Riemann solver. The first-order scheme is conservative for momentum and total energy, and satisfies a local entropy inequality in its semi-discrete form. The two-dimensional high-order extension is constructed employing the generalized Riemann problem (GRP) in the acoustic approximation. Many numerical tests are presented in order to assess this new scheme. The results obtained for various representative configurations of one and two-dimensional compressible fluid flows show the robustness and the accuracy of our new scheme.