A Semi‐Implicit Numerical Method for Simultaneous Fluid‐Structure Interaction
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DOI: 10.1002/fld.70019
Abstract: A one‐dimensional shallow water model is coupled with a floating boat which is assumed to be in hydrostatic equilibrium with the underlying water. Numerically, a semi‐implicit discretization of the shallow water equations also includes the… read more here.
Keywords: fluid structure; semi implicit; implicit numerical; simultaneous fluid ... See more keywords
Implicit numerical integration of highly nonlinear plasticity models
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DOI: 10.1016/j.compgeo.2020.103961
Abstract: Abstract When using an implicit numerical integration algorithm to implement a highly nonlinear elasto-plastic constitutive models in FEM simulations, some difficulties would encounter including Jacobian matrix singularity and non-convergence. Based on the composition of the… read more here.
Keywords: implicit algorithms; integration highly; highly nonlinear; implicit numerical ... See more keywords
Semi-Implicit Numerical Integration of Boundary Value Problems
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DOI: 10.3390/math12233849
Abstract: The numerical solution to boundary differential problems is a crucial task in modern applied mathematics. Usually, implicit integration methods are applied to solve this class of problems due to their high numerical stability and convergence.… read more here.
Keywords: integration; boundary problems; semi implicit; implicit numerical ... See more keywords