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Navier-Stokes方程流函数形式两重网格算法的误差分析 总被引:2,自引:2,他引:0
对定常Navier-Stokes方程流函数形式两重网格有限元算法进行了误差分析。此方法包括在粗网格上求解一个非线性问题,在细网格上求解一个线性问题,然后再在粗网格上求解一个线性校正问题。分析了包括校正项和不包括校正项两种方法的误差,得出对于任意固定的Beynolds数,能达到最优逼近阶。 相似文献
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Navier-Stokes方程带Backtracking技巧的两重网格算法 总被引:3,自引:1,他引:2
1 引 言考虑二维不可压 Navier-Stokes方程: 相似文献
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对流占优扩散方程的一种特征差分算法 总被引:3,自引:0,他引:3
A new kind of characteristic-difference scheme for convection-diffusion equations is constructed by characteristic method and bilinear interpolation method. The convergence of the scheme is proved. The advantages of this scheme are to obtain the solutions of the convection diffusion equations with variable coefficient expediently and to reduce the numerical oscillations of the convectiondominanted diffusion equations effectively. 相似文献
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A two-grid method (TGM) for the fully discrete unsteady NavierStokes (N-S) equations in a penalty form is discussed. An error estimate is given,and a numerical test is also given to verify the correctness of theoretical analysis. 相似文献
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IntroductionWeconsidertwo_gridmethodforthestreamfunctionformofthestationaryNavier_Stokesequations.Theadvantagesofthestreamfunctionformarethattheincompressibilityconditionissatisfiedautomaticallyandthepressureisnotpresentintheweakform .Themethodisbased… 相似文献
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0IntroductionInertialmanifolds(IM)arenewobjectsthathavebeenintroducedinrelationwiththestudyoflargetimebehaviorofnonlineardissipativePDE,see[1].In[2],theyareextendedtodiscretizeddynamicsstemmingfromdissipativePDE.Frommathematicalpointofview,thesearesmootllfiniteLipschitzmanifoldsthatareinviantbytheflowofassociatedsolutions,andattractallthetrajectorieswithexponentialspeed,see[1].Fromphysicalpointofview,IMmodeltheinteractionlawsbetweensmallandlargestructureofaturbulentflow,andrepresentsitspe… 相似文献
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这里v>0是粘性系数,c(x,t)是气体速度.这是一个非线性抛物方程的初边值问题.从Galerkin逼近出发,首先根据Caratheodory映象得出Galerkin逼近解c_m(x,t)∈L~∞(Z,L~2(I))∩L~2(Z,H_0~1(I));其次利用实数阶CooeB空间的性质得出相应的Galer- 相似文献