Improving Accuracy of Laplacian Model of Incompressible SPH Method Using Higher-Order Interpolation
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In this study, a new model of Laplacian operator is formulated as a hybrid of an incompressible SPH (I-SPH) method with Taylor expansion and moving least-squares method. Accuracy of the proposed Laplacian model in solving 2-D elliptic partial differential equations for a unit square computational domain is compared with the conventional I-SPH Laplacian operator. The results show significant improvement in accuracy for the proposed model on regular, highly irregular and multi-resolution irregular node distributions employed for computational domain discretization. The proposed Laplacian model because of notable accuracy can be applied for more efficient simulation of free surface flows.
KeywordsIncompressible SPH Laplacian model MLS Taylor expansion Elliptic partial differential equations Mesh less
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