A numerical third-order method for solving the Navier-Stokes equations with respect to time

DOI10.1134/S0965542519110083zbMath1441.76102OpenAlexW2994654206WikidataQ126531112 ScholiaQ126531112MaRDI QIDQ2304421

V. G. Krupa

Publication date: 11 March 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519110083

zbMATH Keywords

Navier-Stokes equationsRosenbrock methodW-methodABC flowlinearly implicit Runge-Kutta method

Mathematics Subject Classification ID

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) Compressible Navier-Stokes equations (76N06)

Uses Software

• RODAS

Cites Work

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• Linearly implicit Rosenbrock-type Runge-Kutta schemes applied to the discontinuous Galerkin solution of compressible and incompressible unsteady flows
• A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows
• New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index
• Implicit upwind methods for the compressible Navier-Stokes equations
• Some general implicit processes for the numerical solution of differential equations
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
• A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

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