Explicit-Iteration Scheme for Time Integration of the Navier–Stokes Equations

Autor:	O. B. Feodoritova, V. T. Zhukov
Rok vydání:	2020
Předmět:	Operator splitting Scheme (programming language) Conservation law MathematicsofComputing_NUMERICALANALYSIS Compressibility Applied mathematics Gas dynamics Navier–Stokes equations computer computer.programming_language Mathematics
Zdroj:	Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ISBN: 9783030388690
DOI:	10.1007/978-3-030-38870-6_52
Popis:	We develop a splitting-based numerical algorithm for the compressible heat-conducting gas dynamics equations. The approach is based on two-step operator splitting method applied to the three-dimensional unsteady Navier–Stokes system. The first substep is hyperbolic one and implemented according to the Godunov-type scheme. The second substep consists of solving the parabolic subsystem using the explicit-iterative scheme. The advantages of the proposed approach are the fulfilment of conservation laws and efficiency of parallel implementation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f14f31807e76beee763906ef82b9edfe https://doi.org/10.1007/978-3-030-38870-6_52 Zobrazit plný text záznamu