An efficient parallel scheme based on the nodal discontinuous Galerkin method for fluid flow simulations

An efficient parallel scheme based on the nodal discontinuous Galerkin finite element method (nodal-DGFEM) for the numerical solution of the partial differential equations governing fluid flow phenomena is discussed. The flow solver is demonstrated to perform numerical simulation of two-dimensional...

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Bibliographic Details
Published in:AIP advances Vol. 11; no. 6; pp. 065031 - 065031-8
Main Authors: Ali, Amjad, Umar, Muhammad, Farooq, Hamayun, Ishaq, Muhammad
Format: Journal Article
Language:English
Published: Melville American Institute of Physics 01.06.2021
AIP Publishing LLC
Subjects:
Computational fluid dynamics
Computer simulation
Decomposition
Distributed memory
Domain decomposition methods
Finite element method
Flow simulation
Fluid flow
Galerkin method
Mathematical models
Message passing
Numerical methods
Parallel processing
Partial differential equations
Solvers
Two dimensional flow
ISSN:2158-3226, 2158-3226
Online Access:Get full text
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Summary:An efficient parallel scheme based on the nodal discontinuous Galerkin finite element method (nodal-DGFEM) for the numerical solution of the partial differential equations governing fluid flow phenomena is discussed. The flow solver is demonstrated to perform numerical simulation of two-dimensional flow regimes on unstructured triangular grids. The parallel implementation serves to fulfill the requisition of the numerical method regarding high-performance computing resources. The distributed memory programming model with the domain decomposition approach is adopted. The message passing interface library is used for communication among the parallel processes, which are assigned domain-decomposed subproblems. The presented parallelization strategy accurately and efficiently tackles the communication of multi-node data on the element edges between the neighboring parallel processes. The efficacy and efficiency of the parallel solver are demonstrated through solving the well-known problem of non-viscous isentropic convecting vortex flow on parallel systems. The parallelization would extend the scope of the DGFEM by producing solutions in reasonable time frames.
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ISSN:2158-3226
2158-3226
DOI:10.1063/5.0054784