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Title:

Reformulated Dissipation for the Free-Stream Preserving of the Conservative Finite Difference Schemes on Curvilinear Grids

Document type:
Zeitschriftenaufsatz
Author(s):
Su, Hongmin; Cai, Jinsheng; Pan, Shucheng; Hu, Xiangyu
Abstract:
In this paper, we develop a new free-stream preserving (FP) method for high-order upwind conservative finite-difference (FD) schemes on curvilinear grids. This FP method is constructed by subtracting a reference cell-face flow state from each cell-center value in the local stencil of the original upwind schemes, which effectively leads to a reformulated dissipation. It is convenient to implement this method, as it only approximates the cell-center fluxes and conservative variables before reconst...     »
Keywords:
Free-stream preserving; Geometric conservation law; High-order numerical methods; Linear upwind scheme; WENO scheme
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Journal title:
Journal of Scientific Computing
Year:
2023
Journal volume:
96
Journal issue:
3
Covered by:
Scopus
Language:
en
Fulltext / DOI:
doi:10.1007/s10915-023-02295-2
Publisher:
Springer Science and Business Media LLC
E-ISSN:
0885-74741573-7691
Notes:
Funding text This work was supported by the National Natural Science Foundation of China (Grant Nos. 11902271 and 91952203), the Fundamental Research Funds for the Central Universities of China (No. G2019KY05102), the National Key Project GJXM92579, the Guanghe foundation (No. ghfund202302016412) and 111 project on “Aircraft Complex Flows and the Control” (Grant No. B17037).
Date of publication:
24.07.2023
TUM Institution:
Lehrstuhl für Aerodynamik und Strömungsmechanik
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