A numerical method based on finite difference method with variable mesh is given for self-adjoint singularly perturbed two-point boundary value problems. To obtain parameter- uniform convergence, a variable mesh is co...A numerical method based on finite difference method with variable mesh is given for self-adjoint singularly perturbed two-point boundary value problems. To obtain parameter- uniform convergence, a variable mesh is constructed, which is dense in the boundary layer region and coarse in the outer region. The uniform convergence analysis of the method is discussed. The original problem is reduced to its normal form and the reduced problem is solved by finite difference method taking variable mesh. To support the efficiency of the method, several numerical examples have been considered.展开更多
In this paper,novel mesh techniques are proposed for wind field simulation of flexible spatial structure.For mesh generation,an interpolation strategy is presented to obtain a mesh system with variable density.Two spa...In this paper,novel mesh techniques are proposed for wind field simulation of flexible spatial structure.For mesh generation,an interpolation strategy is presented to obtain a mesh system with variable density.Two spatial structure examples are used to examine the efficiency and applicability of this technique.Then based on the structured mesh system generated by the technique,the mesh nodal coordinates are updated to adapt the moving boundary conditions by means of the mapping interpolation functions and some examples are given to verify the effectiveness.Furthermore,the constrained counterforce distribution technique and projection interpolation strategy are developed to implement the data exchange on the interaction surface of wind and structure.Finally,the computational accuracy is numerically validated.展开更多
In this article,we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers’equation in rectangu-lar coordinates.The convergence analys...In this article,we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers’equation in rectangu-lar coordinates.The convergence analysis for the new iteration method is discussed in details.We compared the results of Burgers’equation obtained by using the proposed iterative method with the results obtained by other iterative methods to demonstrate computationally the efficiency of the proposed method.展开更多
文摘A numerical method based on finite difference method with variable mesh is given for self-adjoint singularly perturbed two-point boundary value problems. To obtain parameter- uniform convergence, a variable mesh is constructed, which is dense in the boundary layer region and coarse in the outer region. The uniform convergence analysis of the method is discussed. The original problem is reduced to its normal form and the reduced problem is solved by finite difference method taking variable mesh. To support the efficiency of the method, several numerical examples have been considered.
基金the National Natural Science Foundation of China (No. 50778111) the Doctoral Disciplinary Special Research Project of Chinese Ministry of Education (No. 200802480056)
文摘In this paper,novel mesh techniques are proposed for wind field simulation of flexible spatial structure.For mesh generation,an interpolation strategy is presented to obtain a mesh system with variable density.Two spatial structure examples are used to examine the efficiency and applicability of this technique.Then based on the structured mesh system generated by the technique,the mesh nodal coordinates are updated to adapt the moving boundary conditions by means of the mapping interpolation functions and some examples are given to verify the effectiveness.Furthermore,the constrained counterforce distribution technique and projection interpolation strategy are developed to implement the data exchange on the interaction surface of wind and structure.Finally,the computational accuracy is numerically validated.
基金supported by"The Council of Scientific and Industrial Research"under research Grant No.09/045(0836)2009-EMR-I.
文摘In this article,we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers’equation in rectangu-lar coordinates.The convergence analysis for the new iteration method is discussed in details.We compared the results of Burgers’equation obtained by using the proposed iterative method with the results obtained by other iterative methods to demonstrate computationally the efficiency of the proposed method.
