![]() ![]() ![]() No commercial reproduction, distribution, display or performance rights in this work are provided. This illustrative FSI example, consisting of a gas-inflated sphere impacting the ground, is simulated as a toy model of the final phase of NASA's landing scheme devised for Mars missions, where a network of airbags are deployed to dissipate the energy of impact.Ĭomputational fluid and solid mechanics information theory maximum entropy schemes meshfree methods optimal mass transportation theory Furthermore, in order to highlight the ability of the OTM to simulate Navier-Stokes flows within general, moving three-dimensional domains, and naturally couple with finite elements, an illustrative strongly coupled FSI example is simulated. ![]() The OTM method is numerically validated by simulating the classical Riemann benchmark example for Euler flow. Compared with other meshfree methods that face significant challenges to enforce essential boundary conditions as well as couple to other methods, such as the finite element method, the OTM method provides a new paradigm in meshfree methods. With the use of material point sampling in conjunction with local max-entropy shape functions, the OTM method leads to a meshfree formulation bearing a number of salient features. The study of characterizing the stress concentration effects at welds is one of the most important research directions for predicting the fatigue life of welded components. Specifically, the proposed OTM method generalizes the Benamou-Brenier differential formulation of optimal mass transportation problems which leads to a multi-field variational characterization of general fluid flows including viscosity, equations of state and general geometries and boundary conditions. Drawing from concepts in optimal mass transport theory and in combination with the notion of material point sampling and meshfree interpolation, the optimal transport meshfree (OTM) method provides a rigorous mathematical framework for numerically simulating three-dimensional general fluid flows with general, and possibly moving boundaries (as in fluid-structure interaction simulations). This effort builds on the open source RKPM-based meshfree computational framework developed by Prof. This thesis develops a novel meshfree numerical method for simulating general fluid flows. An effort is made to bring the capabilities and advantages of the meshfree method within a dedicated open-source framework for use in earthquake engineering applications. ![]()
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