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首页> 外文期刊>Numerical Heat Transfer, Part B: Fundamentals >A Space-Time Meshless Method That Removes Numerical Oscillations When Solving PDEs with High Discontinuities
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A Space-Time Meshless Method That Removes Numerical Oscillations When Solving PDEs with High Discontinuities

机译：解决具有高不连续性的PDE时消除数字振荡的时空无网格方法

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摘要

A space-time diffuse approximation method avoiding any secondary finite-difference time-stepping procedure, is presented to solve partial differential equations (PDEs) containing high discontinuities. This method is validated with a non-inner source heat equation. It is shown that its accuracy is improved when using a new proposed weight function. Furthermore, the application of the new weight function, respecting the principle of causality, removes some spurious oscillations appearing with high temporally discontinuous heat sources (such as Heaviside). Results, presented as isotherms or temperature fields, get closer to those obtained with an implicit first-order backward finite-difference scheme.View full textDownload full textRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10407790.2012.687984
机译：为了避免包含高不连续性的偏微分方程（PDE）的求解，提出了一种避免任何二次有限差分时间步长程序的时空扩散近似方法。通过非内部热源方程验证了该方法。结果表明，使用新提出的权函数可以提高其准确性。此外，在考虑因果关系原理的情况下，新权函数的应用消除了在高时间不连续热源（例如Heaviside）中出现的一些虚假振荡。以等温线或温度场表示的结果更接近于通过隐式一阶向后有限差分方案获得的结果。查看全文下载全文相关的var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，service_compact：“类同义词，netvibes ，twitter，technorati，可口，linkedin，facebook，stumbleupon，digg，google，更多”，发布号：“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/10407790.2012.687984

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