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High accuracy compact finite difference methods and their applications

High accuracy compact finite difference methods and their applications
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摘要 Numerical simulation of complex flow fields with multi-scale structures is one of the most important and challenging branches of computational fluid dynamics. From linear analysis and numerical experiments it has been discovered that the higher-order accurate method can give reliable and efficient computational results, as well as better resolution of the complex flow fields with multi-scale structures. Compact finite difference schemes, which feature higher-order accuracy and spectral-like resolution with smaller stencils and easier application of boundary conditions, has attracted more and more interest and attention. Numerical simulation of complex flow fields with multi-scale structures is one of the most important and challenging branches of computational fluid dynamics. From linear analysis and numerical experiments it has been discovered that the higher-order accurate method can give reliable and efficient computational results, as well as better resolution of the complex flow fields with multi-scale structures. Compact finite difference schemes, which feature higher-order accuracy and spectral-like resolution with smaller stencils and easier application of boundary conditions, has attracted more and more interest and attention.
作者 田振夫
出处 《Journal of Shanghai University(English Edition)》 CAS 2006年第6期558-560,共3页 上海大学学报(英文版)
关键词 computational fluid dynamics CFD incompressible flow convection-diffusion equation Navier-Stokes equations compact finite difference approximation alternating direction implicit method numerical simulation. computational fluid dynamics ( CFD ), incompressible flow, convection-diffusion equation, Navier-Stokes equations, compact finite difference approximation, alternating direction implicit method, numerical simulation.
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