Adaptive mesh refinement algorithm for CESE schemes on unstructured quadrilateral meshes

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2025-02-26 DOI:10.1016/j.cpc.2025.109565

Lisong Shi , Chaoxiong Zhang , Chih-Yung Wen

引用次数: 0

Abstract

This study introduces the development of space-time Conservation Element and Solution Element (CESE) methods tailored for adaptive unstructured quadrilateral meshes. An efficient algorithm is then proposed to manage the mesh adaptation process for these staggered schemes, utilizing a unique cell-tree-vertex data structure. This structure accelerates the construction of conservation elements and simplifies the interconnection of computational cells, enabling a flexible approach for handling adaptive mesh refinement in complex computational domains. The integration of second-order a-α, Courant number-insensitive, and upwind CESE schemes with this adaptation algorithm is demonstrated. Numerical simulations of compressible inviscid flows are conducted to validate the global conservation property, ensure second-order accuracy across interfaces at different refinement levels, and evaluate the effectiveness of the extended schemes and adaptation algorithm.

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来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.