Partially implicit peer methods for the compressible Euler equations

DOI10.1016/j.jcp.2011.03.015zbMath1416.76178OpenAlexW2029993476MaRDI QIDQ550929

Oswald Knoth, Rüdiger Weiner, Stefan Jebens

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.015

zbMATH Keywords

compressible Euler equationscut cellslinearly implicit peer methods\(W\)-methodsapproximate Jacobian

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) Compressible fluids and gas dynamics (76N99) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Order reduction phenomenon for general linear methods, Two-step peer methods with equation-dependent coefficients, Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes, Time-accurate and highly-stable explicit peer methods for stiff differential problems, Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes, Order conditions for general linear methods, Search for efficient general linear methods for ordinary differential equations, Local and global error estimation and control within explicit two-step peer triples, An explicit implicit scheme for cut cells in embedded boundary meshes, High Order Implicit-explicit General Linear Methods with Optimized Stability Regions, Semi-implicit Time Integration of Atmospheric Flows with Characteristic-Based Flux Partitioning, A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential Equations, Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability

Uses Software

• ROS3P

Cites Work

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