Space–time conservation element and solution element method and its applications: Advances and Applications in Engineering Sciences

Yazhong Jiang; Chih Yung Wen; Deliang Zhang

doi:10.2514/1.J058928

Space–time conservation element and solution element method and its applications: Advances and Applications in Engineering Sciences

Yazhong Jiang, Chih Yung Wen, Deliang Zhang

Research output: Journal article publication › Journal article › Academic research › peer-review

11 Citations (Scopus)

Abstract

This paper reviews the development of the space–time conservation element and solution element (CESE) method and summarizes its applications in various research areas. The CESE method is a special finite-volume-type method that provides an alternative approach to numerical solutions of fluid-dynamic equations and conservation laws in various physical systems. Based on a unified treatment of time and space, this method solves the integral form of the governing equations by discretization of the space–time domain. Recent progress in CESE schemes mainly includes the construction of a family of upwind CESE schemes, the extended definitions of conservation elements and solution elements for arbitrary meshes, and a new approach to developing high-order CESE schemes. Selected applications of the CESE method (including high-speed aerodynamics, multifluid flows, detonations, and aeroacoustics) are presented. Features of the CESE method are described.

Original language	English
Pages (from-to)	5408-5430
Number of pages	23
Journal	AIAA Journal
Volume	58
Issue number	12
DOIs	https://doi.org/10.2514/1.J058928
Publication status	Published - 11 Sept 2020

ASJC Scopus subject areas

Aerospace Engineering

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10.2514/1.J058928

http://hdl.handle.net/10397/105965

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title = "Space–time conservation element and solution element method and its applications: Advances and Applications in Engineering Sciences",

abstract = "This paper reviews the development of the space–time conservation element and solution element (CESE) method and summarizes its applications in various research areas. The CESE method is a special finite-volume-type method that provides an alternative approach to numerical solutions of fluid-dynamic equations and conservation laws in various physical systems. Based on a unified treatment of time and space, this method solves the integral form of the governing equations by discretization of the space–time domain. Recent progress in CESE schemes mainly includes the construction of a family of upwind CESE schemes, the extended definitions of conservation elements and solution elements for arbitrary meshes, and a new approach to developing high-order CESE schemes. Selected applications of the CESE method (including high-speed aerodynamics, multifluid flows, detonations, and aeroacoustics) are presented. Features of the CESE method are described.",

author = "Yazhong Jiang and Wen, {Chih Yung} and Deliang Zhang",

note = "Funding Information: This research is supported by the Hong Kong Research Grants Council (no. 152151/16E, no. 152041/18E, and no. 152065/19E) and the National Natural Science Foundation of China (no. 11772284). The authors would like to thank Hua Shen for useful discussions on the conservation element and solution element method. The authors would also like to thank Jiaao Hao for providing finite volume simulation results for the “Mach 3 step” case. Publisher Copyright: {\textcopyright} 2020 by the American Institute of Aeronautics and Astronautics, Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

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N1 - Funding Information: This research is supported by the Hong Kong Research Grants Council (no. 152151/16E, no. 152041/18E, and no. 152065/19E) and the National Natural Science Foundation of China (no. 11772284). The authors would like to thank Hua Shen for useful discussions on the conservation element and solution element method. The authors would also like to thank Jiaao Hao for providing finite volume simulation results for the “Mach 3 step” case. Publisher Copyright: © 2020 by the American Institute of Aeronautics and Astronautics, Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/9/11

Y1 - 2020/9/11

N2 - This paper reviews the development of the space–time conservation element and solution element (CESE) method and summarizes its applications in various research areas. The CESE method is a special finite-volume-type method that provides an alternative approach to numerical solutions of fluid-dynamic equations and conservation laws in various physical systems. Based on a unified treatment of time and space, this method solves the integral form of the governing equations by discretization of the space–time domain. Recent progress in CESE schemes mainly includes the construction of a family of upwind CESE schemes, the extended definitions of conservation elements and solution elements for arbitrary meshes, and a new approach to developing high-order CESE schemes. Selected applications of the CESE method (including high-speed aerodynamics, multifluid flows, detonations, and aeroacoustics) are presented. Features of the CESE method are described.

AB - This paper reviews the development of the space–time conservation element and solution element (CESE) method and summarizes its applications in various research areas. The CESE method is a special finite-volume-type method that provides an alternative approach to numerical solutions of fluid-dynamic equations and conservation laws in various physical systems. Based on a unified treatment of time and space, this method solves the integral form of the governing equations by discretization of the space–time domain. Recent progress in CESE schemes mainly includes the construction of a family of upwind CESE schemes, the extended definitions of conservation elements and solution elements for arbitrary meshes, and a new approach to developing high-order CESE schemes. Selected applications of the CESE method (including high-speed aerodynamics, multifluid flows, detonations, and aeroacoustics) are presented. Features of the CESE method are described.

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Space–time conservation element and solution element method and its applications: Advances and Applications in Engineering Sciences

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