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A bounded upwinding scheme for computing convection-dominated transport problems

机译：计算对流占主导地位的运输问题的有界迎风方案

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摘要

A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers’ equation, 1D scalar convection–diffusion equation, 1D/2D compressible Euler’s equations, and 2D incompressible Navier–Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data.

机译：提出了一种实用的高分辨率迎风微分方案，以对流为主的输运问题进行数值求解。该方案基于TVD和CBC稳定性标准，并在有限差分方法中实施。通过求解1D / 2D标量对流方程，1D无粘Burgers方程，1D标量对流扩散方程，1D / 2D可压缩Euler方程和2D不可压缩Navier-Stokes方程来研究该方案的性能。数值结果与现有的其他数值和实验数据吻合良好。

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Ferreira, V.G.; Queiroz, R.A.B.; Lima, G.A.B.; Cuenca, R.G.; Oishi, C.M.; Azevedo, J.L.F.; McKee, Sean;
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年度 2012
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专利

1. A bounded upwinding scheme for computing convection-dominated transport problems [J] . V. G. Ferreira, R. A. B. de Queiroz, G. A. B. Lima, Computers & Fluids . 2012,第Null期

机译：计算对流占主导地位的运输问题的有界迎风方案
2. Preserving bounded and conservative solutions of transport in one-dimensional shallow-water flow with upwind numerical schemes: Application to fertigation and solute transport in rivers [J] . J. Burguete, P. Garcia-Navarro, J. Murillo International Journal for Numerical Methods in Fluids . 2008,第9期

机译：用迎风数值格式保存一维浅水流中运移的有界和保守解：在河流的施肥和溶质运移中的应用
3. A high resolution NV/TVD Hermite polynomial upwind scheme for convection-dominated problems [J] . Gao W., Li H., Liu Y. Mathematical Methods in the Applied Sciences . 2013,第9期

机译：对流占优问题的高分辨率NV / TVD Hermite多项式迎风方案
4. New approaches to build bounded skew upwind scheme for reducing the numerical false diffusion [C] . HE Qing, Chen Qi-Feng, Zhang Ming-Chuan, International Conference on Applied Computational Fluid Dynamics October 17-20, 2000 Beijing China . 2000

机译：建立有界斜向迎风方案以减少数值错误扩散的新方法
5. Stability Analysis of Numerical Schemes for Convection-dominated Diffusion and Navier-Stokes Equations [D] . Deng, Yongzhe. 2017

机译：对流统治扩散和Navier-Stokes方程数值方案的稳定性分析
6. Application of Central Upwind Scheme for Solving Special Relativistic Hydrodynamic Equations [O] . Muhammad Yousaf, Tayabia Ghaffar, Shamsul Qamar -1

机译：中央迎风方案在求解相对论流体动力学方程中的应用
7. A bounded upwinding scheme for computing convection-dominated transport problems [O] . Ferreira V.G., Queiroz R.A.B., Lima G.A.B., 2012

机译：计算对流占主导地位的运输问题的有界迎风方案
8. A modified upwind scheme for convective transport equations and the use of a conjugate gradient method for the solution of non-symmetric systems of equations [R] . Owe Axeisson, Ivar Gustafsson 1977

机译：对流输运方程的改进迎风格式及共轭梯度法在非对称方程组求解中的应用

A bounded upwinding scheme for computing convection-dominated transport problems

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