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On the properties of discrete spatial filters for CFD
dc.contributor.author | Baez Vidal, Aleix |
dc.contributor.author | Lehmkuhl Barba, Oriol |
dc.contributor.author | Trias Miquel, Francesc Xavier |
dc.contributor.author | Pérez Segarra, Carlos David |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics |
dc.date.accessioned | 2017-03-22T12:10:06Z |
dc.date.available | 2018-12-01T01:31:10Z |
dc.date.issued | 2016-12-01 |
dc.identifier.citation | Baez, A., Lehmkuhl, O., Trias, F. X., Perez, C. On the properties of discrete spatial filters for CFD. "Journal of computational physics", 1 Desembre 2016, vol. 326, p. 474-498. |
dc.identifier.issn | 0021-9991 |
dc.identifier.uri | http://hdl.handle.net/2117/102792 |
dc.description | © 2016. This version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.description.abstract | The spatial filtering of variables in the context of Computational Fluid Dynamics (CFD) is a common practice. Most of the discrete filters used in CFD simulations are locally accurate models of continuous operators. However, when filters are adaptative, i.e. the filter width is not constant, or meshes are irregular, discrete filters sometimes break relevant global properties of the continuous models they are based on. For example, the principle of maxima and minima reduction or conservation are eventually infringed. In this paper, we analyze the properties of analytic continuous convolution filters and extract those we consider to define filtering. Then, we impose the accomplishment of these properties on explicit discrete filters by means of constraints. Three filters satisfying the derived conditions are deduced and compared to common differential discrete CFD filters on synthetic fields. Tests on the developed discrete filters show the fulfillment of the imposed properties. In particular, the problem of maxima and minima generation is resolved for physically relevant cases. The tests are conducted on the basis of the eigenvectors of graph Laplacian matrices of meshes. Thus, insight into the relations between filtering and oscillation growth on general meshes is provided. Further tests on singularity fields and on isentropic vortices have also been conducted to evaluate the performance of filters on basic CFD fields. Results confirm that imposing the proposed conditions makes discrete filters properties consistent with those of the continuous ones. |
dc.format.extent | 25 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids |
dc.subject.lcsh | Fluid dynamics |
dc.subject.lcsh | Computer simulation |
dc.subject.lcsh | Mathematical models |
dc.subject.other | Filters |
dc.subject.other | CFD |
dc.subject.other | LES |
dc.subject.other | Finite volumes |
dc.title | On the properties of discrete spatial filters for CFD |
dc.type | Article |
dc.subject.lemac | Dinàmica de fluids |
dc.subject.lemac | Simulació per ordinador |
dc.subject.lemac | Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor |
dc.identifier.doi | 10.1016/j.jcp.2016.09.002 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0021999116304144 |
dc.rights.access | Open Access |
local.identifier.drac | 19747077 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Baez, A.; Lehmkuhl, O.; Trias, F. X.; Perez, C. |
local.citation.publicationName | Journal of computational physics |
local.citation.volume | 326 |
local.citation.startingPage | 474 |
local.citation.endingPage | 498 |
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