Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43966673" target="_blank" >RIV/49777513:23520/22:43966673 - isvavai.cz</a>
Result on the web
<a href="http://hdl.handle.net/11025/51473" target="_blank" >http://hdl.handle.net/11025/51473</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.24132/acm.2022.786" target="_blank" >10.24132/acm.2022.786</a>

Result language
angličtina
Original language name
Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods
Original language description
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.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
20302 - Applied mechanics

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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