Numerical evaluation of artificial boundary condition for wall-bounded stably stratified flows

0538082 - MÚ 2022 RIV US eng J - Journal Article
Bodnár, Tomáš - Fraunié, P. - Knobloch, P. - Řezníček, Hynek
Numerical evaluation of artificial boundary condition for wall-bounded stably stratified flows.
Discrete and Continuous Dynamical systems - Series S. Roč. 14, č. 3 (2021), s. 785-801. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA ČR GA16-03230S; GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : stratified fluid * finite difference method * Lee waves * artificial boundary conditions
OECD category: Pure mathematics
Impact factor: 1.865, year: 2021
Method of publishing: Open access
http://dx.doi.org/10.3934/dcdss.2020333

The paper presents a numerical study of the efficiency of the newly proposed far-field boundary simulations of wall-bounded, stably stratified flows. The comparison of numerical solutions obtained on large and truncated computational domain demonstrates how the solution is affected by the adopted far-field conditions. The mathematical model is based on Boussinesq approximation for stably stratified viscous variable density incompressible fluid. The three-dimensional numerical simulations of the steady flow over an isolated hill were performed using a high-resolution compact finite difference code, with artificial compressibility method used for pressure computation. The mutual comparison of the full domain reference solution and the truncated domain solution is provided and the influence of the newly proposed far-field boundary condition is discussed.
Permanent Link: http://hdl.handle.net/11104/0315900