0438702 - ÚT 2015 RIV AT eng J - Článek v odborném periodiku
Korous, L. - Šolín, Pavel
An adaptive hp-DG method with dynamically-changing meshes for non-stationary compressible Euler equations.
Computing. Roč. 95, č. 1 (2013), S425-S444. ISSN 0010-485X. E-ISSN 1436-5057
Institucionální podpora: RVO:61388998
Klíčová slova: numerical simulation * finite element method * hp-adaptivity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.055, rok: 2013

Compressible Euler equations describing the motion of compressible inviscid fluids are typically solved by means of low-order finite volume (FVM) or finite element (FEM) methods. A promising recent alternative to these low-order methods is the higher-order discontinuous Galerkin (hp-DG) method (Schnepp and Weiland, J Comput Appl Math 236: 4909-4924, 2012; Schnepp and Weiland, Radio Science, vol 46, RS0E03, 2011) that combines the stability of FVM with excellent approximation properties of higher-order FEM. This paper presents a novel hp-adaptive algorithm for the hp-DG method which is based on meshes that change dynamically in time. The algorithm reduces the order of the approximation on shocks and keeps higher-order elements where the approximation is smooth, which leads to an efficient discretization of the time-dependent problem. The method is described and numerical examples are presented.
Trvalý link: http://hdl.handle.net/11104/0242151