Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 14, Issue 3, Pages 785-801Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2020333
Keywords
Stratified fluid; finite difference method; Lee waves; flow over a hill; artificial boundary conditions
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Funding
- Czech Science Foundation [16-03230S, 19-04243S]
- Erasmus+ Programme of the European Union
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The efficiency of newly proposed far-field boundary simulations of wall-bounded, stably stratified flows was numerically studied in this paper. The comparison of numerical solutions on large and truncated computational domain showed how the solution is affected by the adopted far-field conditions. The study discussed the influence of the newly proposed far-field boundary condition by comparing full domain reference solution and the truncated domain solution.
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.
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