Description
Title: LARGE-SCALE CONVECTIVE HEAT TRANSFER PROBLEMS: EFFICIENT SIMULATIONS
Abstract: Here, we outline a strategy for effectively resolving problems involving large-scale convective heat transfer that are expressed as coupled unsteady heat conduction and incompressible fluid-flow equations. Traditional implicit techniques are used to discretize the original issue over time, and stabilized finite elements are applied to the discretization of the issue in space. Picard’s iterations are used in the algorithm used to discretize the fluid flow problem in order to solve the resulting nonlinear equations. The Navier-Stokes equations and the heat transfer problem both result in sizable sparse systems of linear equations. An iterative GMRES solver with the appropriate preconditioning is used to resolve the systems. We use a unique preconditioner for the incompressible flow equations that is based on the algebraic multigrid (AMG) method. In particular for ill-conditioned systems that result from discretizing incompressible Navier-Stokes equations, this paper presents algorithmic and implementation details of the solution procedure, which is suitably tuned. We outline a parallel solver implementation that makes use of MPI and PETSC library components. The solver’s scalability is compared favorably to other approaches, including direct solvers and the traditional GMRES method with ILU reconditioning.
Keywords: convective heat transfer, finite element method, sparse linear equations, algebraic multigrid, Navier–Stokes equations, GMRES, block preconditioning, SUPG stabilization, MPI, PETSC, scalability
Paper Quality: SCOPUS / Web of Science Level Research Paper
Paper type: Analysis Based Research Paper
Subject: Computer Science
Writer Experience: 20+ Years
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