A Parallel, Implicit Reconstructed Discontinuous Galerkin Method for the Compressible Flows on 3D Arbitrary Grids

Xia, Yidong; Luo, Hong; Spiegel, Seth C.; Frisbey, Megan

doi:10.2514/6.2013-3062

Cited by 6 publications

(1 citation statement)

References 40 publications

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“…Two of the most attractive features in OpenACC: 1) multi-platform/compiler support and 2) easy-to-code directives has been employed to partially upgrade a legacy Navier-Stokes DG solver 17,18,26,27,25,28 with the GPU computing capacity without significant extra cost in recoding and maintenance, resuling in a highly portable and extensible GPU codebase. A face renumbering/grouping scheme is proposed in order to solve the "race condition" in face-based flux calculations that occurs on GPU vectorization.…”

Section: Introductionmentioning

confidence: 99%

OpenACC-based GPU Acceleration of a 3-D Unstructured Discontinuous Galerkin Method

Xia

Luo

et al. 2014

52nd Aerospace Sciences Meeting

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A GPU-accelerated discontinuous Galerkin (DG) method is presented for the solution of compressible flows on 3-D unstructured grids. The present work has employed two of the most attractive features in a new programming standard of parallel computing -OpenACC: 1) multi-platform/compiler support and 2) descriptive directive interface to upgrade a legacy CFD solver with the capacity of GPU computing, without significant extra cost in recoding, resulting in a highly portable and extensible GPU-accelerated code. In addition, a face renumbering/grouping scheme is proposed to overcome the "race condition" in facebased flux calculations that occurs on GPU vectorization. Performance of the developed double-precision solver is assessed for both simple and complex geometries. Speedup factors up to but not limited to 24× and 1.6× were achieved by comparing the measured computing time of the OpenACC program running on an NVIDIA Tesla K20c GPU to that of the equivalent MPI program running on one single core and full sixteen cores of an AMD Opteron-6128 CPU respectively, indicating a great potential to port more features of the underlying DG solver into the OpenACC framework.

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Section: Introductionmentioning

confidence: 99%

OpenACC-based GPU Acceleration of a 3-D Unstructured Discontinuous Galerkin Method

Xia

Luo

et al. 2014

52nd Aerospace Sciences Meeting

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A third‐order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time‐accurate solution of the compressible Navier–Stokes equations

Xia

Liu

Luo

2015

Numerical Methods in Fluids

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SUMMARYA space and time third-order discontinuous Galerkin method based on a Hermite weighted essentially non-oscillatory reconstruction is presented for the unsteady compressible Euler and Navier-Stokes equations. At each time step, a lower-upper symmetric Gauss-Seidel preconditioned generalized minimal residual solver is used to solve the systems of linear equations arising from an explicit first stage, single diagonal coefficient, diagonally implicit Runge-Kutta time integration scheme. The performance of the developed method is assessed through a variety of unsteady flow problems. Numerical results indicate that this method is able to deliver the designed third-order accuracy of convergence in both space and time, while requiring remarkably less storage than the standard third-order discontinous Galerkin methods, and less computing time than the lower-order discontinous Galerkin methods to achieve the same level of temporal accuracy for computing unsteady flow problems.

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A Discontinuous Galerkin Method on Arbitrary Grids with High Order Boundary Discretization

Zhang

2019

Lecture Notes in Electrical Engineering

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A Parallel, Implicit Reconstructed Discontinuous Galerkin Method for the Compressible Flows on 3D Arbitrary Grids

Cited by 6 publications

References 40 publications

OpenACC-based GPU Acceleration of a 3-D Unstructured Discontinuous Galerkin Method

OpenACC-based GPU Acceleration of a 3-D Unstructured Discontinuous Galerkin Method

A third‐order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time‐accurate solution of the compressible Navier–Stokes equations

A Discontinuous Galerkin Method on Arbitrary Grids with High Order Boundary Discretization

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