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ANSYS CFX14.5離散格式 已有1人參與
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| 請(qǐng)問(wèn)一下各位，ANSYS CFX14.5非定常計(jì)算求解中空間離散和時(shí)間離散格式都是什么呢？？？ |
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小木蟲: 金幣+0.5, 給個(gè)紅包，謝謝回帖
小木蟲: 金幣+0.5, 給個(gè)紅包，謝謝回帖
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時(shí)間有點(diǎn)長(zhǎng)，本來(lái)還是了解一些的，今天仔細(xì)看了一下，忘記的太多了，希望下面的東東對(duì)你有幫助，對(duì)于空間離散，其實(shí)很簡(jiǎn)單，就是基于把N-S方程基于網(wǎng)格離散化，我截取一段，CFX的內(nèi)容考過(guò)來(lái)沒(méi)公式，你去看一下幫助（詳細(xì)介紹查cfx幫助）；里面有一大章節(jié)講的是這個(gè)。 Discretization of the Governing Equations ANSYS CFX uses an element-based finite volume method, which first involves discretizing the spatial domain using a mesh. The mesh is used to construct finite volumes, which are used to conserve relevant quantities such as mass, momentum, and energy. The mesh is three dimensional, but for simplicity we will illustrate this process for two dimensions 關(guān)于時(shí)間離散，我不記得具體應(yīng)該怎么解釋了，你也看一下幫助吧，我也把部分內(nèi)容截給你看，我看了一下，覺(jué)得沒(méi)怎么解釋的太明白，所以不好在這里給你瞎解釋，你自己參考一下。 11.1.1.8. Transient Term For control volumes that do not deform in time, the general discrete approximation of the transient term for the nth time step is: (11–35) where values at the start and end of the time step are assigned the superscripts n+½ and n-½, respectively. With the First Order Backward Euler scheme, the start and end of time step values are respectively approximated using the old and current time level solution values. The resulting discretization is: (11–36) It is robust, fully implicit, bounded, conservative in time, and does not have a time step size limitation. This discretization is, however, only first-order accurate in time and will introduce discretization errors that tend to diffuse steep temporal gradients. This behavior is similar to the numerical diffusion experienced with the Upwind Difference Scheme for discretizing the advection term. With the Second Order Backward Euler scheme, the start and end of time step values are respectively approximated as: (11–37) (11–38) When these values are substituted into the general discrete approximation, Equation 11–35, the resulting discretization is: (11–39) This scheme is also robust, implicit, conservative in time, and does not have a time step size limitation. It is second-order accurate in time, but is not bounded and may create some nonphysical solution oscillations. For quantities such as volume fractions, where boundedness is important, a modified Second Order Backward Euler scheme is used instead. |
2樓2014-05-29 15:57:45
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