Accurate FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equation
In this paper we present an accurate stabilized FIC-FEM formulation for the multidimensional steady-state advection-diffusion-absorption equation.The stabilized formulation is based on the Galerkin FEM solution of the governing differential equations derived via the Finite Increment Calculus (FIC) m...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/114549 |
| Online Access: | https://hdl.handle.net/2117/114549 https://dx.doi.org/10.1016/j.cma.2017.08.012 |
| Access Level: | Open access |
| Keyword: | Fluid dynamics--Mathematical models Advection-diffusion-absorption Finite element method Finite increment calculus Dinàmica de fluids -- Models matemàtics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Àrees temàtiques de la UPC::Física::Física de fluids |
| Summary: | In this paper we present an accurate stabilized FIC-FEM formulation for the multidimensional steady-state advection-diffusion-absorption equation.The stabilized formulation is based on the Galerkin FEM solution of the governing differential equations derived via the Finite Increment Calculus (FIC) method using two stabilization parameters. The value of the two stabilization parameters ensuring an accurate nodal FEM solution using uniform meshes of linear elements is obtained from the optimal values for the 1D problem.The accuracy of the new FIC-FEM formulation is demonstrated in the solution of 2D steady-state advection-diffusion-absorption problems for a range of physical parameters and boundary conditions. |
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