A general computational framework for Lagrangian hydrodynamic scheme. I: Unification of staggered‐grid and cell‐centered methods
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| Format: | Artículo Open Access |
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Wiley
2024
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| _version_ | 1867013222963347456 |
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| author | Xihua Xu |
| author_facet | Xihua Xu Xihua Xu |
| collection | Wiley Open Access |
| contents | A general computational framework for Lagrangian hydrodynamic scheme. I: Unification of staggered‐grid and cell‐centered methods Xihua Xu International Journal for Numerical Methods in Fluids AbstractThis paper focuses on a general computational framework to unify both Lagrangian staggered‐grid hydrodynamic (SGH) and cell‐centered hydrodynamic (CCH) methods. One challenge is that artificial viscosity has contained empirical parameters in the SGH method for seven decades. To address this challenge, a new relationship between pressure and velocity is constructed using specific volume as a medium. Another challenge is that entropy is increasing in isentropic flows for the CCH method. To overcome this second challenge, the forces acting on a target cell are split into linear and quadratic terms in the CCH method. The numerical results of the two methods are almost identical. The scheme is more general than both existing SGH and CCH methods. 10.1002/fld.5313 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1002/fld.5313 |
| format | Artículo Open Access |
| id | wiley_oa_10_1002_fld_5313 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2024 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | A general computational framework for Lagrangian hydrodynamic scheme. I: Unification of staggered‐grid and cell‐centered methods Xihua Xu International Journal for Numerical Methods in Fluids A general computational framework for Lagrangian hydrodynamic scheme. I: Unification of staggered‐grid and cell‐centered methods Xihua Xu International Journal for Numerical Methods in Fluids AbstractThis paper focuses on a general computational framework to unify both Lagrangian staggered‐grid hydrodynamic (SGH) and cell‐centered hydrodynamic (CCH) methods. One challenge is that artificial viscosity has contained empirical parameters in the SGH method for seven decades. To address this challenge, a new relationship between pressure and velocity is constructed using specific volume as a medium. Another challenge is that entropy is increasing in isentropic flows for the CCH method. To overcome this second challenge, the forces acting on a target cell are split into linear and quadratic terms in the CCH method. The numerical results of the two methods are almost identical. The scheme is more general than both existing SGH and CCH methods. 10.1002/fld.5313 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | A general computational framework for Lagrangian hydrodynamic scheme. I: Unification of staggered‐grid and cell‐centered methods |
| topic | International Journal for Numerical Methods in Fluids |
| url | https://onlinelibrary.wiley.com/doi/10.1002/fld.5313 |