Well-balanced finite difference weighted essentially non-oscillatory schemes for the blood flow model

Wang Zhenzhen; Li Gang; Delestre Olivier

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Well-balanced finite difference weighted essentially non-oscillatory schemes for the blood flow model

机译：血流模型的平衡良好的有限差分加权基本非振荡方案

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The blood flow model maintains the steady-state solutions, in which the flux gradients are non-zero but exactly balanced by the source term. In this paper, we design high order finite difference weighted essentially non-oscillatory (WENO) schemes to this model with such well-balanced property and at the same time keeping genuine high order accuracy. Rigorous theoretical analysis as well as extensive numerical results all indicate that the resulting schemes verify high order accuracy, maintain the well-balanced property, and keep good resolution for smooth and discontinuous solutions. Copyright (c) 2016 John Wiley & Sons, Ltd.

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《International Journal for Numerical Methods in Fluids》 |2016年第9期|共16页
作者
Wang Zhenzhen; Li Gang; Delestre Olivier;
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正文语种 eng
中图分类流体力学;
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blood flow model; finite difference schemes; weighted essentially non-oscillatory schemes; well-balanced property; high order accuracy; source term;

机译：血流模型有限差分方案加权基本非振荡方案均衡特性高阶精度来源项;

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1. Well-balanced finite difference weighted essentially non-oscillatory schemes for the blood flow model [J] . Wang Zhenzhen, Li Gang, Delestre Olivier International Journal for Numerical Methods in Fluids . 2016,第9期

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2. Hybrid Finite Difference Weighted Essentially Non-oscillatory Schemes for the Compressible Ideal Magnetohydrodynamics Equation [J] . Kim Chang Ho, You Kwang-Il, Ha Youngsoo Journal of Scientific Computing . 2018,第2期

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3. Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation [J] . Hajipour Mojtaba, Jajarmi Amin, Malek Alaeddin, Applied mathematics and computation . 2018,第期

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7. Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes [O] . Siddhartha Mishra 2021

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8. Boundary Closures for Fourth-order Energy Stable Weighted Essentially Non-Oscillatory Finite Difference Schemes [R] . Fisher, T. C., Carpenter, M. H., Yamaleev, N. K., 2009

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Well-balanced finite difference weighted essentially non-oscillatory schemes for the blood flow model

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