Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models (Q2107285)
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scientific article; zbMATH DE number 7625691
| Language | Label | Description | Also known as |
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| English | Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models |
scientific article; zbMATH DE number 7625691 |
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Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models (English)
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1 December 2022
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The authors develop a new second-order well-balanced (WB) central-upwind (CU) scheme for several one-dimensional blood flow models. To this end, the flux globalization approach is extended to the studied models and implemented it to develop the WB CU scheme which can preserve both ``man-at-eternal-rest'' (zero-velocity) and ``living-man'' (non-zero velocity) steady-state solutions. Several numerical tests are presented to show the efficiency of the the proposed WB CU scheme.
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flux globalization
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central-upwind scheme
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well-balanced method
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blood flow equations
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steady-state solutions
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