Název:	Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods
Autoři:	Levý, Tomáš May, Georg
Citace zdrojového dokumentu:	LEVÝ, T. MAY, G. Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods. Applied and Computational Mechanics, 2022, roč. 16, č. 2, s. 119-134. ISSN: 1802-680X
Datum vydání:	2022
Nakladatel:	University of West Bohemia
Typ dokumentu:	článek article
URI:	2-s2.0-85146916882 http://hdl.handle.net/11025/51473
ISSN:	1802-680X
Klíčová slova v dalším jazyce:	hybridized discontinuous Galerkin method;time-dependent convection-diffusion-reaction problems;backward differentiation formulas;diagonally implicit Runge-Kutta method;time step size adaptation
Abstrakt v dalším jazyce:	The present study is focused on the application of two families of implicit time-integration schemes for general time-dependent balance laws of convection-diffusion-reaction type discretized by a hybridized discontinuous Galerkin method in space, namely backward differentiation formulas (BDF) and diagonally implicit Runge-Kutta (DIRK) methods. Special attention is devoted to embedded DIRK methods, which allow the incorporation of time step size adaptation algorithms in order to keep the computational effort as low as possible. The properties of the numerical solution, such as its order of convergence, are investigated by means of suitably chosen test cases for a linear convection-diffusion-reaction equation and the nonlinear system of Navier-Stokes equations. For problems considered in this work, the DIRK methods prove to be superior to high-order BDF methods in terms of both stability and accuracy.
Práva:	© University of West Bohemia
Vyskytuje se v kolekcích:	Články / Articles (KME) OBD

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