Optimised composite numerical schemes in 2‐D for hyperbolic conservation laws

DOI10.1002/fld.2652zbMath1253.76073OpenAlexW1924189739MaRDI QIDQ4898049

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Publication date: 29 December 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2652

zbMATH Keywords

dissipationdispersionhyperbolic conservation lawsCFL numbermodified equationscomposite schememinimised integrated exponential error for low dispersion and low dissipationoptimal CFL

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Cites Work

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• Control of numerical effects of dispersion and dissipation in numerical schemes for efficient shock-capturing through an optimal Courant number
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• A Legendre pseudospectral viscosity method
• A method for reducing dispersion in convective difference schemes
• Heuristic stability theory for finite-difference equations
• Some applications of the concept of minimized integrated exponential error for low dispersion and low dissipation
• The concept of minimized integrated exponential error for low dispersion and low dissipation schemes
• The designing approach of difference schemes by controlling the remainder-effect
• Composite Schemes for Conservation Laws
• Two-dimensional shallow water equations by composite schemes
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
• Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• Simulation of thermoelastic wave propagation by means of a composite wave-propagation algorithm

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