Accurate FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equation
2017
Oñate Ibáñez de Navarra, Eugenio | Nadukandi, Prashanth | Miquel Canet, Juan | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental | Centre Internacional de Mètodes Numèrics en Enginyeria | Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria | Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
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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