在前面的基础上: 迦非喵:C++Tridiagonal matrix algorithm 简单测试迦非喵:国产CFD开源软件OneFLOW求解一维热传导方程简单测试(Crank–Nicolson scheme version2)这里继续重构: 有: CMakeList.txt cmake_mi…
u=np.zeros((nx+1,nt+1))foriinrange(0,nx+1):x[i]=x_l+dx*(i)# location of each grid pointu[i,0]=-np.sin(np.pi*x[i])# store solution at t=0u_e[i]=-np.exp(-t)*np.sin(np.pi*x[i])# theory solutionbeta=alpha*dt/(dx**2)print(" beta = ",beta)a=np.zeros(n...
Tone F.On the long-time stability of the Crank-Nicolson scheme for the 2D Navier-Stokes equations. Numer Methods Partial Di?er Equ . 2007F. Tone, On the long-time stability of the Crank-Nicholson scheme for the 2D Navier-Stokes equations, Numer. Methods Partial Differ. Equ. 23:5 (2007...
crank-nicolson scheme 读音:美英 crank-nicolson scheme基本解释 克兰克-尼科尔森格式 分词解释 scheme& vi. 策划,图谋n. 计划
shown that the explicit method of numerically solving the heat equation lead to an extremely restrictive time step. This motivates another scheme which allows for larger time steps, but with the trade off of more computational work per step. This method is known as the Crank-Nicolson scheme. ...
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I am currently working on the numerical time integration of a system of differential equations functiondydt = odeSystem(t,y) dydt(1,1) = y(2); dydt(2,1) = -y(1); end I want to implicitly find the solution using Crank-Nicolson and a Newton-Raphson scheme. I have the followin...
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I am trying to incorporate Crank-Nicolson scheme, into my code, I have a small doubt about the calulation of the source terms for the scheme, when I calculate the source term for the crank-nicolson scheme should I update the new source terms every time step or should I update the sourc...
it can be shown the Crank –Nicolson method is unconditionally stable.[3] However, the approximate solutions can still contain (decaying) spurious oscillations if the ratio of time step to the square of space step is large (typically larger than 1/2). For this reason, whenever large time st...