2020
DOI: 10.1061/(asce)em.1943-7889.0001729
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A Naturally Stabilized Semi-Lagrangian Meshfree Formulation for Multiphase Porous Media with Application to Landslide Modeling

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Cited by 41 publications
(17 citation statements)
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“…This choice is mainly attributed to the ease of implementation. However, like other multi-field saddle point problems, the usage of equal-order discretization may lead to spurious oscillation for both the pore pressure and the Lagrange Multipliers [63][64][65][66][67][68].…”
Section: Optionmentioning
confidence: 99%
“…This choice is mainly attributed to the ease of implementation. However, like other multi-field saddle point problems, the usage of equal-order discretization may lead to spurious oscillation for both the pore pressure and the Lagrange Multipliers [63][64][65][66][67][68].…”
Section: Optionmentioning
confidence: 99%
“…In the semi-Lagrangian RK approximation (Chen and Wu 2007a), the reproducing conditions are constructed in the current configuration, where the nodal neighbor list is updated by redefining the kernel support coverage. In this way, the nodal points follow the motion of material points under a Lagrangian description, while the mesh distortion issues associated with conventional meshbased methods are effectively avoided (Guan et al 2009;Chi et al 2015;Sherburn et al 2015;Wei et al 2019)…”
Section: Semi-lagrangian Rk Approximationmentioning
confidence: 99%
“…For more diffuse responses, other methods are more appropriate, such as finite element method with Lagrangian Integration Points (FEMLIP). 25,26 A host of meshfree methods, such as element-free Galerkin, 27,28 smoothed-particle hydrodynamics, [29][30][31][32] and the reproducing kernel particle method [33][34][35] have been developed explicitly for large-deformation analysis and applied to problems in soil mechanics. In this paper, we use standard finite elements and leave the integration with numerical methods for very large deformations for future investigation.…”
Section: Introductionmentioning
confidence: 99%