Time integration of three-dimensional numerical transport models

DOI10.1016/0168-9274(94)00049-2zbMath0819.65122OpenAlexW2073589721MaRDI QIDQ1344331

V. Pereyra

Publication date: 9 February 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/5225

zbMATH Keywords

method of linesRunge-Kutta methodpredictor-corrector methodsdiffusion-convection equationparallelizationvectorizationnumerical comparisonoperator splitting methodshopscotch methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Parallel numerical computation (65Y05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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A note on splitting errors for advection-reaction equations ⋮ On extension of one method for investigation of nonlinear difference schemes ⋮ Splitting methods for three-dimensional bio-chemical transport ⋮ Direct numerical simulation of interfacial instabilities: A consistent, conservative, all-speed, sharp-interface method ⋮ A Sharp Interface Method for Compressible Multi-Phase Flows Based on the Cut Cell and Ghost Fluid Methods

Uses Software

• Hopscotch
• RODAS

Cites Work

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• Contractivity of locally one-dimensional splitting methods
• Convergence properties of the Runge-Kutta-Chebyshev method
• Analysis of smoothing operators in the solution of partial differential equations by explicit difference schemes
• On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations
• Method of lines and direct discretization: A comparison for linear advection
• Improving the Stability of Predictor-Corrector Methods by Residue Smoothing
• On the Internal Stability of Explicit,m-Stage Runge-Kutta Methods for Largem-Values
• Fractional runge-kutta methods with application to convection-diffusion equations
• Implementation and performance of the time integration of a 3D transport model
• Hopscotch: a Fast Second-order Partial Differential Equation Solver

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