Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00010669%3A_____%2F18%3AN0000074" target="_blank" >RIV/00010669:_____/18:N0000074 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/18:00492115 RIV/68407700:21220/18:00330200 RIV/00216208:11320/18:10384489

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0045793018303918?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0045793018303918?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compfluid.2018.07.002" target="_blank" >10.1016/j.compfluid.2018.07.002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

Popis výsledku v původním jazyce

The novelty of the paper is the application of the discontinuous Galerkin method (DGM) to the solution of viscous compressible flow with low Mach number. The compressible Navier–Stokes equations are written in the conservative form using conservative variables. They are discretized by the DGM in space. In time we use either the backward difference formula (BDF) or the discontinuous Galerkin method. The resulting technique is called the space-time discontinuous Galerkin method (STDGM). The goal of the presented analysis is to prove the ability of the developed DGM to solve viscous compressible low Mach number flows described by the compressible Navier–Stokes equations without any modification and to obtain results comparable with simulations of incompressible viscous flow described by the incompressible Navier–Stokes equations, solved by the finite element method (FEM). We present numerical results for a flow in a simplified channel of the human vocal tract, for a flow around the airfoil NACA0012 and moreover for flow-induced airfoil vibrations. The results prove the robustness of the discontinuous Galerkin method with respect to the low Mach number.

Název v anglickém jazyce

Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow

Popis výsledku anglicky

The novelty of the paper is the application of the discontinuous Galerkin method (DGM) to the solution of viscous compressible flow with low Mach number. The compressible Navier–Stokes equations are written in the conservative form using conservative variables. They are discretized by the DGM in space. In time we use either the backward difference formula (BDF) or the discontinuous Galerkin method. The resulting technique is called the space-time discontinuous Galerkin method (STDGM). The goal of the presented analysis is to prove the ability of the developed DGM to solve viscous compressible low Mach number flows described by the compressible Navier–Stokes equations without any modification and to obtain results comparable with simulations of incompressible viscous flow described by the incompressible Navier–Stokes equations, solved by the finite element method (FEM). We present numerical results for a flow in a simplified channel of the human vocal tract, for a flow around the airfoil NACA0012 and moreover for flow-induced airfoil vibrations. The results prove the robustness of the discontinuous Galerkin method with respect to the low Mach number.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Computers and Fluids

ISSN

00457930

e-ISSN

1879-0747

Svazek periodika

174

Číslo periodika v rámci svazku

30 September 2018

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

12

Strana od-do

167-178

Kód UT WoS článku

000447099100012

EID výsledku v databázi Scopus

2-s2.0-85050910013