A non-local model for heterogeneous material flow on conveyor belts
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918164172898304 |
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| author | Goatin, Paola Göttlich, Simone Ziegler, Fabian |
| author_facet | Goatin, Paola Göttlich, Simone Ziegler, Fabian |
| contents | In this paper, a finite volume approximation scheme is used to solve a non-local macroscopic material flow model in two space dimensions, accounting for the presence of boundaries in the non-local terms. Based on a previous result for the scalar case, we extend the setting to a system of heterogeneous material on bounded domains. We prove the convergence of the approximate solutions constructed using the Roe scheme with dimensiona splitting, where the major challenge lies in the treatment of the discontinuity occurring in the flux function. Numerical tests show a good agreement with microscopic simulations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_17500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A non-local model for heterogeneous material flow on conveyor belts Goatin, Paola Göttlich, Simone Ziegler, Fabian Numerical Analysis In this paper, a finite volume approximation scheme is used to solve a non-local macroscopic material flow model in two space dimensions, accounting for the presence of boundaries in the non-local terms. Based on a previous result for the scalar case, we extend the setting to a system of heterogeneous material on bounded domains. We prove the convergence of the approximate solutions constructed using the Roe scheme with dimensiona splitting, where the major challenge lies in the treatment of the discontinuity occurring in the flux function. Numerical tests show a good agreement with microscopic simulations. |
| title | A non-local model for heterogeneous material flow on conveyor belts |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2510.17500 |