Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin
Abstract In this work we investigate the Brinkman volume penalization technique in the context of a high-order Discontinous Galerkin method to model moving wall boundaries for compressible fluid flow simulations. High-order approximations are especially of interest as they require few degrees of fre...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Advanced Modeling and Simulation in Engineering Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s40323-021-00195-4 |
| _version_ | 1828931661669072896 |
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| author | Neda Ebrahimi Pour Nikhil Anand Harald Klimach Sabine Roller |
| author_facet | Neda Ebrahimi Pour Nikhil Anand Harald Klimach Sabine Roller |
| author_sort | Neda Ebrahimi Pour |
| collection | DOAJ |
| description | Abstract In this work we investigate the Brinkman volume penalization technique in the context of a high-order Discontinous Galerkin method to model moving wall boundaries for compressible fluid flow simulations. High-order approximations are especially of interest as they require few degrees of freedom to represent smooth solutions accurately. This reduced memory consumption is attractive on modern computing systems where the memory bandwidth is a limiting factor. Due to their low dissipation and dispersion they are also of particular interest for aeroacoustic problems. However, a major problem for the high-order discretization is the appropriate representation of wall geometries. In this work we look at the Brinkman penalization technique, which addresses this problem and allows the representation of geometries without modifying the computational mesh. The geometry is modelled as an artificial porous medium and embedded in the equations. As the mesh is independent of the geometry with this method, it is not only well suited for high-order discretizations but also for problems where the obstacles are moving. We look into the deployment of this strategy by briefly discussing the Brinkman penalization technique and its application in our solver and investigate its behavior in fundamental one-dimensional setups, such as shock reflection at a moving wall and the formation of a shock in front of a piston. This is followed by the application to setups with two and three dimensions, illustrating the method in the presence of curved surfaces. |
| first_indexed | 2024-12-14T00:50:09Z |
| format | Article |
| id | doaj.art-626d6900fd3041998e7c2d8f660bbff8 |
| institution | Directory Open Access Journal |
| issn | 2213-7467 |
| language | English |
| last_indexed | 2024-12-14T00:50:09Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advanced Modeling and Simulation in Engineering Sciences |
| spelling | doaj.art-626d6900fd3041998e7c2d8f660bbff82022-12-21T23:23:52ZengSpringerOpenAdvanced Modeling and Simulation in Engineering Sciences2213-74672021-04-018112310.1186/s40323-021-00195-4Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous GalerkinNeda Ebrahimi Pour0Nikhil Anand1Harald Klimach2Sabine Roller3University of SiegenUniversity of SiegenUniversity of SiegenUniversity of SiegenAbstract In this work we investigate the Brinkman volume penalization technique in the context of a high-order Discontinous Galerkin method to model moving wall boundaries for compressible fluid flow simulations. High-order approximations are especially of interest as they require few degrees of freedom to represent smooth solutions accurately. This reduced memory consumption is attractive on modern computing systems where the memory bandwidth is a limiting factor. Due to their low dissipation and dispersion they are also of particular interest for aeroacoustic problems. However, a major problem for the high-order discretization is the appropriate representation of wall geometries. In this work we look at the Brinkman penalization technique, which addresses this problem and allows the representation of geometries without modifying the computational mesh. The geometry is modelled as an artificial porous medium and embedded in the equations. As the mesh is independent of the geometry with this method, it is not only well suited for high-order discretizations but also for problems where the obstacles are moving. We look into the deployment of this strategy by briefly discussing the Brinkman penalization technique and its application in our solver and investigate its behavior in fundamental one-dimensional setups, such as shock reflection at a moving wall and the formation of a shock in front of a piston. This is followed by the application to setups with two and three dimensions, illustrating the method in the presence of curved surfaces.https://doi.org/10.1186/s40323-021-00195-4Moving geometriesCompressible flowHigh-order Discontinuous GalerkinBrinkman penalization |
| spellingShingle | Neda Ebrahimi Pour Nikhil Anand Harald Klimach Sabine Roller Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin Advanced Modeling and Simulation in Engineering Sciences Moving geometries Compressible flow High-order Discontinuous Galerkin Brinkman penalization |
| title | Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin |
| title_full | Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin |
| title_fullStr | Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin |
| title_full_unstemmed | Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin |
| title_short | Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin |
| title_sort | compressible flow simulation with moving geometries using the brinkman penalization in high order discontinuous galerkin |
| topic | Moving geometries Compressible flow High-order Discontinuous Galerkin Brinkman penalization |
| url | https://doi.org/10.1186/s40323-021-00195-4 |
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