Designing an efficient solution strategy for fluid flows. I: A stable high order finite difference scheme and sharp shock resolution for the Euler equations
From MaRDI portal
Publication:675145
DOI10.1006/jcph.1996.0248zbMath0899.76281OpenAlexW1613503205MaRDI QIDQ675145
Pelle Olsson, Margot G. Gerritsen
Publication date: 9 November 1998
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1996.0248
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (40)
Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows. ⋮ On the robustness and performance of entropy stable collocated discontinuous Galerkin methods ⋮ High order nonlinear filter methods for subsonic turbulence simulation with stochastic forcing ⋮ Summation by parts operators for finite difference approximations of second derivatives ⋮ Analysis of one-dimensional inviscid and two-dimensional viscous flows using entropy preserving method ⋮ Development of low dissipative high order filter schemes for multiscale Navier-Stokes/MHD systems ⋮ A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems ⋮ High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows ⋮ High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains ⋮ Review of summation-by-parts schemes for initial-boundary-value problems ⋮ Entropy stable schemes for initial-boundary-value conservation laws ⋮ Skew-symmetric splitting for multiscale gas dynamics and MHD turbulence flows ⋮ Recent advancement of entropy split methods for compressible gas dynamics and MHD ⋮ Construction of conservative numerical fluxes for the entropy split method ⋮ High order numerical simulation of aeolian tones ⋮ Adaptive filtering and limiting in compact high order methods for multiscale gas dynamics and MHD systems ⋮ Derivation of strictly stable high order difference approximations for variable-coefficient PDE ⋮ Third-order accurate entropy-stable schemes for initial-boundary-value conservation laws ⋮ Strong interaction of a turbulent spot with a shock-induced separation bubble ⋮ The effect of Mach number on unstable disturbances in shock/boundary-layer interactions ⋮ On coordinate transformation and grid stretching for sparse grid pricing of basket options ⋮ Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow ⋮ The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy ⋮ Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes ⋮ A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions ⋮ Higher entropy conservation and numerical stability of compressible turbulence simulations ⋮ An intrusive hybrid method for discontinuous two-phase flow under uncertainty ⋮ Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations ⋮ Supercompact multiwavelets for flow field simulation ⋮ An energy-stable high-order central difference scheme for the two-dimensional shallow water equations ⋮ Recent developments in accuracy and stability improvement of nonlinear filter methods for DNS and LES of compressible flows ⋮ Assessment of optimized symmetric fourth-order weighted essentially non-oscillatory scheme in direct numerical simulation of compressible turbulence ⋮ Entropy stable method for the Euler equations revisited: central differencing via entropy splitting and SBP ⋮ A fully discrete, kinetic energy consistent finite volume scheme for compressible flows ⋮ Low dissipative high‐order numerical simulations of supersonic reactive flows ⋮ Designing an efficient solution strategy for fluid flows. II: Stable high-order central finite difference schemes on composite adaptive grids with sharp shock resolution ⋮ Entropy splitting and numerical dissipation ⋮ High-order accurate computations for unsteady aerodynamics ⋮ Finite volume treatment of dispersion-relation-preserving and optimized prefactored compact schemes for wave propagation ⋮ Entropy splitting for high-order numerical simulation of compressible turbulence
This page was built for publication: Designing an efficient solution strategy for fluid flows. I: A stable high order finite difference scheme and sharp shock resolution for the Euler equations