Schwarz alternating domain decomposition approach for the solution of mixed heat convection flow problems based on the method of approximate particular solutions
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Inclou dades d'ús des de 2022
Cita com:
hdl:2117/192845
Tipus de documentText en actes de congrés
Data publicació2013
EditorCIMNE
Condicions d'accésAccés obert
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Abstract
The incompressible two-dimensional Navier-Stokes equations including thermal
energy balance equation are solved by the recently developed Method of Approximate
Particular Solutions (MAPS). In a previous authors’ work this method was implemented
to solve the two-dimensional Stokes equations by employing the pressure and velocity particular
solutions obtained by Oseen’s decomposition with the Multiquadric (MQ) RBF
as non-homogeneous term. A pressure-velocity linkage strategy is not required since the
pressure particular solutions are obtained from the velocity ones. In the present contribution,
the Navier-Stokes equations with Boussinesq approximation are solved by linearizing
the convective term in a Picard iterative scheme. With the velocity values obtained at
each of the Picard iterations, the energy conservation equation is solved by the MAPS by
approximating temperature with the particular solutions of a Poisson problem with the
MQ as a forcing term. With the aim of improving the computational efficiency of the
global strategy, the two-dimensional domain is split into overlapped rectangular subdomains
where the Schwarz Alternating Algorithm is employed to find a solution by using
velocity and temperatures values from neighbouring zones as boundary conditions. The
mixed convection lid-driven cavity flow problem is solved for moderate Reynolds and low
Richardson numbers with the aim of validating the proposed method.
ISBN978-84-941407-6-1
Fitxers | Descripció | Mida | Format | Visualitza |
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Coupled-2013-115_Schwarz alternating domain.pdf | 1,622Mb | Visualitza/Obre |