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Sci."],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this work we investigate the Brinkman volume penalization technique in\n            the context of a high-order Discontinous Galerkin method to model moving wall boundaries\n            for compressible fluid flow simulations. High-order approximations are especially of\n            interest as they require few degrees of freedom to represent smooth solutions\n            accurately. This reduced memory consumption is attractive on modern computing systems\n            where the memory bandwidth is a limiting factor. Due to their low dissipation and\n            dispersion they are also of particular interest for aeroacoustic problems. However, a\n            major problem for the high-order discretization is the appropriate representation of\n            wall geometries. In this work we look at the Brinkman penalization technique, which\n            addresses this problem and allows the representation of geometries without modifying the\n            computational mesh. The geometry is modelled as an artificial porous medium and embedded\n            in the equations. As the mesh is independent of the geometry with this method, it is not\n            only well suited for high-order discretizations but also for problems where the\n            obstacles are moving. We look into the deployment of this strategy by briefly discussing\n            the Brinkman penalization technique and its application in our solver and investigate\n            its behavior in fundamental one-dimensional setups, such as shock reflection at a moving\n            wall and the formation of a shock in front of a piston. This is followed by the\n            application to setups with two and three dimensions, illustrating the method in the\n            presence of curved surfaces.<\/jats:p>","DOI":"10.1186\/s40323-021-00195-4","type":"journal-article","created":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T15:03:16Z","timestamp":1619535796000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Compressible flow simulation with moving\n         geometries using the Brinkman penalization in high-order Discontinuous\n         Galerkin"],"prefix":"10.1186","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8167-7456","authenticated-orcid":false,"given":"Neda","family":"Ebrahimi Pour","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2740-1771","authenticated-orcid":false,"given":"Nikhil","family":"Anand","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6054-5681","authenticated-orcid":false,"given":"Harald","family":"Klimach","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sabine","family":"Roller","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,4,27]]},"reference":[{"key":"195_CR1","doi-asserted-by":"publisher","unstructured":"Alexander R. 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The funders had no role in\n               the design of the study; in the collection, analyses, or interpretation of data; in\n               the writing of the manuscript, or in the decision to publish the results.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"10"}}