Work

An explicit time integration method for Boussinesq approximation

Year: 2024

Type: article

Abstract: This paper presents a novel approach to the discretization of the Boussinesq equation using finite elements, coupled with an explicit pressure correction scheme. The entire numerical scheme is formulated exclusively in terms of matrix‐vector products, enabling a highly efficient numerical solution. The key advantage of this approach lies in its suitability for fast computations and seamless parallelization on graphics processing units (GPUs). We present the numerical scheme and discuss different computational examples.

Source: PAMM

DOI: 10.1002/pamm.202400050

Authors: Dandy Rueda Castillo, Utku Kaya, Thomas Richter

Institutions: Christian-Albrechts-Universität zu Kiel, Otto-von-Guericke-Universität Magdeburg

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Deutsche Forschungsgemeinschaft