Yidong Xia

Works (4)

Updated: July 5th, 2023 15:45

2014 journal article

A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids

COMPUTERS & FLUIDS, 98, 134–151.

By: Y. Xia n, H. Luo n, M. Frisbey n & R. Nourgaliev *

author keywords: Discontinuous Galerkin; Hierarchical WENO reconstruction; Implicit methods; Automatic differentiation; Parallel computing
TL;DR: A set of implicit methods for a third-order hierarchical WENO reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids and an SPMD programming paradigm based on MPI is proposed to achieve parallelism. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

An implicit Hermite WENO reconstruction-based discontinuous Galerkin method on tetrahedral grids

COMPUTERS & FLUIDS, 96, 406–421.

By: Y. Xia n, H. Luo n & R. Nourgaliev *

author keywords: Discontinuous Galerkin; Reconstruction method; WENO; Compressible flows; Implicit method; Tetrahedral grids
TL;DR: An Implicit Reconstructed Discontinuous Galerkin method, IRDG (P1P2), is presented for solving the compressible Euler equations on tetrahedral grids and it is found that a well approximated Jacobian matrix is essential for the IRDD method to achieve fast converging speed and maintain robustness on large-scale problems. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2012 journal article

A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids

JOURNAL OF COMPUTATIONAL PHYSICS, 231(16), 5489–5503.

By: H. Luo n, Y. Xia n, S. Li  n, R. Nourgaliev * & C. Cai *

author keywords: Discontinuous Galerkin method; Hermite WENO reconstruction; Compressible Euler equations; Tetrahedral grids
TL;DR: The numerical experiments demonstrate that the developed RDG(P"1P"2) method is able to maintain the linear stability, achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method without significant increase in computing costs and storage requirements. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids

Journal of Computational Physics, 236, 477–492.

By: H. Luo n, Y. Xia n, S. Spiegel n, R. Nourgaliev * & Z. Jiang *

author keywords: Discontinuous Galerkin method; WENO reconstruction; Unstructured grids
TL;DR: The numerical experiments indicate that the HWENO (P"1P"2) method is able to capture shock waves within one cell without any spurious oscillations, and achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method. (via Semantic Scholar)
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Sources: Web Of Science, Crossref
Added: August 6, 2018

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