The technique so-called dual discretization is proposed to obtain higher resolutions of the boundaries and reduce the computation cost in level set-based topology optimization. Two discretizations are employed: (1) a finer structured discretization for solving Hamilton-Jacobi type equation by upwind finite difference method, and (2) a coarser structured/unstructured discretization for solving structural responses by meshfree method. Owing to smooth approximation of meshfree method, the information can be conveniently and accurately exchanged between the discretizations. Moving Least Squares Approximation with Discontinuous Derivative Basis Functions is employed to handle material heterogeneity of nonlinear structures. Numerical examples show the validity and efficiency of the proposed method. By using finer structured mesh the resolution of level set function is improved effectively and higher convergence rate is obtained.

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The velocity of the pulp-stock jet which blow out from head-box on the wire part of a paper machine is operating about ±1〜2% differ from the running speed of the wire fabric. This reason is that the pulp-fiber orientation intensity of the paper web are closely correlate with some quality characteristics of the final paper products. This paper describes the simulation results of the moving states of the pulp fibers and the pulp-fiber orientation angles using a model of the Molecular Dynamics method, assuming three patterns of shearing flow that taken into account the jet/wire speed ratios of the pulp-stock flow of the paper machine.

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