Numerical Simulation of Underwater Blast-Wave Focusing Using a High-Order Scheme

Shen, Liang; Chen, H.

doi:10.2514/2.7564

Cited by 13 publications

(5 citation statements)

References 10 publications

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“…Twodimensional shallow water equations are simulated by composite schemes (for which WENO is a component) in [100], see also [99]. Underwater blast-wave focusing is studied in [92]. Non-breaking and breaking solitary wave run-up is studied in [91].…”

mentioning

confidence: 99%

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Shu¹

2009

SIAM Rev.

798

615

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High order accurate weighted essentially non-oscillatory (WENO) schemes are relatively new but have gained rapid popularity in numerical solutions of hyperbolic partial differential equations and other convection dominated problems. The main advantage of such schemes is their capability to achieve arbitrarily high order formal accuracy in smooth regions while maintaining stable, non-oscillatory and sharp discontinuity transitions. The schemes are thus especially suitable for problems containing both strong discontinuities and complex smooth solution features. WENO schemes are robust and do not require the users to tune parameters, thus they are very convenient to use for practitioners. In this paper we review the history and basic formulation of WENO schemes, outline the main ideas in using WENO schemes to solve various hyperbolic partial differential equations and other convection dominated problems, and present a collected sample of applications in areas including computational fluid dynamics, computational astronomy and astrophysics, semiconductor device simulation, traffic flow models, and computational biology. Finally, we mention a few topics currently being investigated about WENO schemes.

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confidence: 99%

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Shu¹

2009

SIAM Rev.

798

615

View full text Add to dashboard Cite

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“…Some of the examples include dynamical response of a stellar atmosphere to pressure perturbations [3]; shock vortex interactions and other gas dynamics problems [5,6]; incompressible flow problems [27]; Hamilton-Jacobi equations [9]; magneto-hydrodynamics [11]; underwater blast-wave focusing [15]; the composite schemes and shallow water equations [16,17]; real gas computations [20]; wave propagation using Fey's method of transport [21]; and so forth.…”

Section: Introductionmentioning

confidence: 99%

A Technique of Treating Negative Weights in WENO Schemes

Shi

Shu

2002

Journal of Computational Physics

353

302

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“…The WENO method is widely used in various fields. Some examples include dynamical response of a stellar atmosphere to pressure perturbations [14] , shock vortex interactions and other gas dynamics problems [15,16] , incompressible own problems [17] , Hamilton-Jacobi equations [18] , magneto-hydrodynamics [19] , underwater blast-wave focusing [20] , composite schemes and shallow water equations [21] , real gas computations [22] , wave propagation using Fey's method of transport [23] , etc.…”

Section: Introductionmentioning

confidence: 99%

Heterogeneous parallel algorithm design and performance optimization for WENO on the Sunway Taihulight supercomputer

Huang

Han

Wang

et al. 2020

Tinshhua Sci. Technol.

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A Weighted Essentially Non-Oscillatory scheme (WENO) is a solution to hyperbolic conservation laws, suitable for solving high-density fluid interface instability with strong intermittency. These problems have a large and complex flow structure. To fully utilize the computing power of High Performance Computing (HPC) systems, it is necessary to develop specific methodologies to optimize the performance of applications based on the particular system's architecture. The Sunway TaihuLight supercomputer is currently ranked as the fastest supercomputer in the world. This article presents a heterogeneous parallel algorithm design and performance optimization of a high-order WENO on Sunway TaihuLight. We analyzed characteristics of kernel functions, and proposed an appropriate heterogeneous parallel model. We also figured out the best division strategy for computing tasks, and implemented the parallel algorithm on Sunway TaihuLight. By using access optimization, data dependency elimination, and vectorization optimization, our parallel algorithm can achieve up to 172× speedup on one single node, and additional 58× speedup on 64 nodes, with nearly linear scalability.

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Numerical Simulation of Underwater Blast-Wave Focusing Using a High-Order Scheme

Cited by 13 publications

References 10 publications

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

A Technique of Treating Negative Weights in WENO Schemes

Heterogeneous parallel algorithm design and performance optimization for WENO on the Sunway Taihulight supercomputer

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