Shock-capturing particle hydrodynamics with reproducing kernels
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908729138479104 |
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| author | Rosswog, S. |
| author_facet | Rosswog, S. |
| contents | We present and explore a new shock-capturing particle hydrodynamics approach. Our starting point is a commonly used discretization of smoothed particle hydrodynamics. We enhance this discretization with Roe's approximate Riemann solver, we identify its dissipative terms, and in these terms, we use slope-limited linear reconstruction. All gradients needed for our method are calculated with linearly reproducing kernels that are constructed to enforce the two lowest-order consistency relations. We scrutinize our reproducing kernel implementation carefully on a "glass-like" particle distribution, and we find that constant and linear functions are recovered to machine precision. We probe our method in a series of challenging 3D benchmark problems ranging from shocks over instabilities to Schulz-Rinne-type vorticity-creating shocks. All of our simulations show excellent agreement with analytic/reference solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19228 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shock-capturing particle hydrodynamics with reproducing kernels Rosswog, S. Fluid Dynamics Instrumentation and Methods for Astrophysics We present and explore a new shock-capturing particle hydrodynamics approach. Our starting point is a commonly used discretization of smoothed particle hydrodynamics. We enhance this discretization with Roe's approximate Riemann solver, we identify its dissipative terms, and in these terms, we use slope-limited linear reconstruction. All gradients needed for our method are calculated with linearly reproducing kernels that are constructed to enforce the two lowest-order consistency relations. We scrutinize our reproducing kernel implementation carefully on a "glass-like" particle distribution, and we find that constant and linear functions are recovered to machine precision. We probe our method in a series of challenging 3D benchmark problems ranging from shocks over instabilities to Schulz-Rinne-type vorticity-creating shocks. All of our simulations show excellent agreement with analytic/reference solutions. |
| title | Shock-capturing particle hydrodynamics with reproducing kernels |
| topic | Fluid Dynamics Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2411.19228 |