A local domain BEM for solving transient convection-diffusion-reaction problems. (15th September 2022)

• Record Type: Journal Article
• Authors: Gortsas, Theodore V.; Tsinopoulos, Stephanos V.
• Is Part Of: International journal of heat and mass transfer. Volume 194(2022)
• Publication Date: 2022-09-15
• Subjects: Convection-diffusion -- Local domain bem -- Numerical solution -- Boundary element method; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2022.123029
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: A local domain BEM method is proposed for convection-diffusion-reaction problems. Numerical examples with known analytical solutions. Comparison with solutions obtained by the finite element method. Performance comparison with the conventional boundary element method. Abstract: The convection-diffusion-reaction (CDR) equation has been extensively used to simulate a variety of physical phenomena. A robust numerical method for solving linear CDR problems is the Boundary Element Method (ΒΕΜ). However, the conventional BEM leads to dense coefficient matrices and as a result the memory requirements grow quadratically with respect to the number of degrees of freedom. In this work, a Local Domain BEM (LD-BEM) for solving the transient CDR equation with a constant velocity field is presented. The domain of interest is fragmented into small subdomains and the integral representation of the solution is considered separately for each of the subdomains. Eliminating the fluxes at all subdomain interfaces, the proposed LD-BEM leads to sparse linear system coefficient matrices and a reduced number of degrees of freedom. Eight numerical examples are solved to assess the efficiency and accuracy of the proposed method.