Using piecewise-linear reconstruction to constructing a low-dissipation HLL method for numerical solution of hydrodynamics equation
From MaRDI portal
Publication:5882848
DOI10.15372/SJNM20220204MaRDI QIDQ5882848
Publication date: 29 March 2023
Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjvm802
shock wavecontact discontinuityrarefaction wavepoint explosionSod problemHarten-Lax-van Leer methodlow-dissipation solutionthree-dimensional Sedov problem
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)
Uses Software
Cites Work
- Unnamed Item
- A HLL-Rankine-Hugoniot Riemann solver for complex non-linear hyperbolic problems
- A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations
- A new parallel Intel Xeon Phi hydrodynamics code for massively parallel supercomputers
- Robust HLLC Riemann solver with weighted average flux scheme for strong shock
- A rotationally biased upwind difference scheme for the Euler equations
- On Godunov-type methods near low densities
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Restoration of the contact surface in the HLL-Riemann solver
- A cure for numerical shock instability in HLLC Riemann solver using antidiffusion control
- An efficient optimization of Hll method for the second generation of Intel Xeon Phi processor
- Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon
- On numerical instabilities of Godunov-type schemes for strong shocks
- Use of a rotated Riemann solver for the two-dimensional Euler equations
- A new Rusanov-type solver with a local linear solution reconstruction for numerical modeling of white dwarf mergers by means massive parallel supercomputers
- Artificial viscosity to cure the shock instability in high-order Godunov-type schemes
- A simple cure for numerical shock instability in the HLLC Riemann solver
- Robust HLL-type Riemann solver capable of resolving contact discontinuity
- A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
- Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers
- A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
- Hydrogen-helium chemical and nuclear galaxy collision: hydrodynamic simulations on AVX-512 supercomputers
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On Godunov-Type Methods for Gas Dynamics
- Shock wave numerical structure and the carbuncle phenomenon
- Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon
