In the paper, an effective numerical scheme for two-region and limited space Stefan problem is presented. The main feature of this method is to search for its solution and the temperature field simultaneously. The comparison of the obtained results with approximate analytical solutions shows that the algorithm is feasible and effective
A novel algorithm for solving the classic Stefan problem is proposed in the paper. Instead of front tracking, we preset the moving interface locations and use these location coordinates as the grid points to find out the arrival time of moving interface respectively. Through this approach, the difficulty in mesh generation can be avoided completely. The simulation shows the numerical result is well coincident with the exact solution, implying the new approach performes well in solving this problem.
Two special stream functions are introduced for three dimensional inviscid compressible rotational flows, and variational principles for potential flow, Beltrami flow, and rotational flow are established, where the two stream functions are independent variations.
Two special stream functions are introduced for three dimensional inviscid compressible rotational flows, and a variational theory for hybrid problems is established. The theory might find potential applications in numerical simulation and various optimal blade designs.
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