The face-centered finite volume method (FCFV) for steady-state incompressible Navier-Stokes equations
The face-centered finite volumes (FCFV) has been proposed [2,4]. FCFV may be derived as a hybridizable discontinuous Galerkin (HDG) method with constant degree of approximation for all the variables [1,3,5]. Contrary to CCFV and VCFV approaches, the proposed FCFV method provides LBB-stable discretiz...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/172013 |
| Acceso en línea: | https://hdl.handle.net/2117/172013 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite element method Fluid dynamics finite volume method face-centered hybridisable discontinuous Galerkin lowest order approximation incompressible Navier-Stokes equations Elements finits, Mètode dels Dinàmica de fluids Àrees temàtiques de la UPC::Enginyeria civil |
| Sumario: | The face-centered finite volumes (FCFV) has been proposed [2,4]. FCFV may be derived as a hybridizable discontinuous Galerkin (HDG) method with constant degree of approximation for all the variables [1,3,5]. Contrary to CCFV and VCFV approaches, the proposed FCFV method provides LBB-stable discretizations and achieves first-order convergence of velocity, pressure and gradient of velocity using unstructured meshes, without the need to perform flux reconstruction. Numerical experiments show that the method is robust in presence of distorted and stretched elements [2,4]. |
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