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K zaplacení v momentě doručení
1. The partial step velocity (u *, v *) is calculated by Eqs. (4) and (5).
2. The values on the 1/2 grid of the partial velocity are obtained by linear interpolation (in this case, the average).
The right-hand side source term of the pressure equation (12) is calculated using the partial step velocity on the 1/2 lattice, and the convergent solution (pn) of the equation (12) is obtained by the SOR method.
4. Using the obtained pressure, the first-order differential term for the pressure in Eqs. (6) and (7) is calculated, and the velocity (un + 1, vn + 1) in the n + 1 time step is obtained.
In this process, use equations 14-18
I need 3 simulation's jpg file and code. And equation 21,22's solution
analytical solution is equation (19)
then compare velocity u,w(and solve(21,22)) and compare pressure p
conditions:
As the initial conditions, the velocity and pressure in which t = 0 is substituted in Eq(19) are used, and the boundary conditions are all (x, y directions, velocity/ pressure) periodic boundary conditions (see Fig. 2). However, note that the definition position of the physical quantity shifts by 1/2 grid. The number of grid points is 64x64 points, Reynolds number is Re = 100 and the time interval is t = 1/100, the numerical solution at t = 1.0 (repeated 100 times) is compared with the analytical solution (19). However, the convergence test of pressure equation (12) uses L2-residual pL2 as follows.
Here, Nx and Ny are the number of lattice points in the x and y directions, and m and m + 1 represent the iterative steps of the SOR method, which is the solver of the pressure [login to view URL] the calculation result, draw contour lines of velocity (u, v) and pressure for the analytical solution and the numerical solution. Also, calculate the L2-error shown in the following equation with respect to the velocity.
However, Eq(21,22)'s shoulder letter (a) represents the analytical solution, and (n) represents the numerical solution.
Identifikační číslo projektu: #30686522
O projektu
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