【摘 要】
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We develop a locally conservative Eulerian-Lagrangian finite difference scheme with the weighted essentially non-oscillatory property(ELWENO)in one-space di
【机 构】
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National Sun Yat-sen Univ.
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We develop a locally conservative Eulerian-Lagrangian finite difference scheme with the weighted essentially non-oscillatory property(ELWENO)in one-space dimension.This method has the advantages of both WENO and Eulerian-Lagrangian schemes.It is formally high-order accurate in space(we present the third and fifth order version)and essentially nonoscillatory.Moreover,it is free of a CFL time step stability restriction and has small time truncation error.A flux correction term is used to make the scheme feasible.A Strang splitting algorithm is presented for higher-dimensional problems.We show formally that it maintains the designed order accuracy.It is also locally mass conservative.Numerical results are provided to illustrate the performance of the scheme and verify its formal accuracy.
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