Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Errors for calculations of strong shocks using an artificial viscosity and artificial heat flux
Journal of Computational Physics
Uniformly high-order accurate nonoscillatory schemes
SIAM Journal on Numerical Analysis
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
A general topology Godunov method
Journal of Computational Physics
Numerical experiments on the accuracy of ENO and modified ENO schemes
Journal of Scientific Computing
A numerical study of the convergence properties of ENO schemes
Journal of Scientific Computing
Vorticity errors in multidimensional Lagrangian codes
Journal of Computational Physics
Momentum advection on a staggered mesh
Journal of Computational Physics
High-order ENO schemes applied to two- and three-dimensional compressible flow
Applied Numerical Mathematics
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
On Godunov-type schemes for Lagrangian gas dynamics
SIAM Journal on Numerical Analysis
On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Introduction to “An arbitrary Lagrangian-Eulerian computing method for all flow speeds”
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
AUSM(ALE): a geometrically conservative arbitrary Langrangian-Eulerian flux splitting scheme
Journal of Computational Physics
A tensor artificial viscosity using a mimetic finite difference algorithm
Journal of Computational Physics
On the computation of multi-material flows using ALE formulation
Journal of Computational Physics
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
Journal of Computational Physics
A note on the conservative schemes for the Euler equations
Journal of Computational Physics
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
SIAM Journal on Scientific Computing
A high order accurate conservative remapping method on staggered meshes
Applied Numerical Mathematics
Remapping-free ALE-type kinetic method for flow computations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A high-resolution mapped grid algorithm for compressible multiphase flow problems
Journal of Computational Physics
Journal of Computational Physics
A high order moving boundary treatment for compressible inviscid flows
Journal of Computational Physics
Journal of Computational Physics
A comparison of SPH schemes for the compressible Euler equations
Journal of Computational Physics
Positivity-preserving Lagrangian scheme for multi-material compressible flow
Journal of Computational Physics
Hi-index | 31.50 |
We develop a class of Lagrangian type schemes for solving the Euler equations of compressible gas dynamics both in the Cartesian and in the cylindrical coordinates. The schemes are based on high order essentially non-oscillatory (ENO) reconstruction. They are conservative for the density, momentum and total energy, can maintain formal high order accuracy both in space and time and can achieve at least uniformly second-order accuracy with moving and distorted Lagrangian meshes, are essentially non-oscillatory, and have no parameters to be tuned for individual test cases. One and two-dimensional numerical examples in the Cartesian and cylindrical coordinates are presented to demonstrate the performance of the schemes in terms of accuracy, resolution for discontinuities, and non-oscillatory properties.