An improved SPH method in the discontinuous interface problem
Received:December 20, 2007  
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DOI:10.7511/jslx20096028
KeyWord:SPH  discontinuous SPH formula  large deformation  discontinuous interface  material interface
        
AuthorInstitution
赵燕 西北工业大学 航空学院,西安
徐绯 西北工业大学 航空学院,西安
李玉龙 西北工业大学 航空学院,西安
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Abstract:
      It is necessary to introduce the discontinuous SPH method because discontinuous physical quantities often appear in SPH numerical simulations. Based on Taylor series expansion, discontinuous SPH expressions in 2D and 3D simulations were derived. For the computation of discontinuous physical quantities at material interface with large deformations, how to determine discontinuous locations was presented, and the method to determine xk in discontinuous formulas was proposed theoretically based on Taylor series expansion and validated numerically. Initial SPH method, CSPM method and the discontinuous SPH method were compared and discussed when simulating discontinuous quantities. The results show that the discontinuous SPH method is more attractive when simulating discontinuous quantities.