Fast semi-explicit transient solution of Stokes flows with large time steps using a FIC-time procedure
We present a fast semi- explicit time integration scheme for solving transient Stokes flow problems via standard numerical methods in space using regular and irregular grids, such as unstructured meshes in the finite element method (FEM), or grids containing cells of very different sizes in the fini...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| 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:2117/449747 |
| Acceso en línea: | https://hdl.handle.net/2117/449747 https://dx.doi.org/10.1016/j.cma.2025.118620 |
| Access Level: | acceso abierto |
| Palabra clave: | Fast semi-explicit time integration scheme Stokes flows Transient flow problems Large time steps Finite increment calculus FIC-time Finite element method Finite volume method Àrees temàtiques de la UPC::Enginyeria civil::Enginyeria hidràulica, marítima i sanitària |
| Sumario: | We present a fast semi- explicit time integration scheme for solving transient Stokes flow problems via standard numerical methods in space using regular and irregular grids, such as unstructured meshes in the finite element method (FEM), or grids containing cells of very different sizes in the finite volume method (FVM). The new semi-explicit time integration scheme, termed EFT12 scheme, extends one of the explicit FIC-Time (EFT) integration methods for parabolic problems derived by the authors in [24] that allow considerable larger time steps than the forward Euler (FE) scheme. The EFT12 scheme also provides a faster convergence to the steady-state solution than using the FE scheme. The advantages of the EFT12 scheme for the fast and accurate solution of transient Stokes flow problems are shown in one- and two- dimensional problems using the FEM and the FVM with regular and irregular grids. |
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