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Abstract
To investigate the flow field in a hyper-speed gas centrifuge, a hybrid difference scheme is used to discretize the axisymmetric Navier-Stokes equation. Source terms are included to simulate the injection and extraction of gas, also the mechanical drive of the scoops. The nonlinearity is obvious as the drive is strong. A Newton iteration used to solve the equation system becomes sensitive to the initial guess of the solution, which makes it difficult to converge. A homotopic method with self-adaptive steps is adopted to cope with this problem and to accelerate the iteration process. Numerical experiments simulating different strengths of scoop drive prove the effectiveness of the algorithm.
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Details
1 Department of Engineering Physics, Tsinghua University, Beijing 100084, China