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Showing 1 to 14 of 14 for “"Multiphysics Problems"”.
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Time Stepping Methods for Multiphysics Problems
Mathematical modeling of physical processes often leads to systems of differential and algebraic equations involving quantities of interest. A computer model created based on these equations can be numerically integrated to predict future states of the system and its evolution in time. This thesis …
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Peridynamics For The Solution Of Multiphysics Problems
… it can capture physical phenomenon for the problems which include non-local effects and are not suitable for classical theories. Moreover, governing equations of peridynamics are based on integro-differential equations which permits the determination of the field variable in spite of …
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Computational modeling and simulation of nonlinear electromagnetic and multiphysics problems
… this dissertation, nonlinear electromagnetic and multiphysics problems are modeled and simulated using various three-dimensional full-wave methods in the time domain. The problems under consideration fall into two categories. One is nonlinear electromagnetic problems with the nonlinearity embedded …
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Instabilities in Multiphysics Problems: Micro- and Nano-electromechanical Systems, and Heat-Conducting Thermoelastoviscoplastic Solids
… and strain-rate effects. Each of these nonlinear multiphysics problems is analyzed by the meshless local Petrov-Galerkin (MLPG) method. The moving least squares (MLS) approximation is used to generate basis functions for the trial solution, and the basis for test functions is taken to be either …
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Application of the Finite Element Method to Solve Coupled Multiphysics Problems for Subsurface Energy Extraction
Fractures are a source of extra compliance in the rock mass. Fracture compliance can estimate the fracture roughness and the type of fluid filling the fracture. The focus of this research study in chapter 2 is to illustrate how the compliance ratio of rough fractures can diverge from the compliance …
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Adaptive Discontinuous Galerkin Methods Applied to Multiscale & Multiphysics Problems towards Large-scale Modeling & Joint Imaging
… in the intricately multi-scale engineering problems, the efficiency in the extremely large-scale wave simulations, and the stability in the dynamically multi-phase coupling interfaces. </p><p>In this study, I will present a multi-scale \& multi-physics 3D wave propagation simulator to tackle …
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Accuracy and Stability of Transient Multiphysics Simulations
… character and thus could be applied to other multiphysics problems.
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Mathematical and computational aspects of solving mixed-domain problems using the finite element method
This work focuses on mixed-domain problems, where fields defined over different domains are governed by different partial differential equations and may be coupled. Multiphysics problems, where different regions are governed by different (interacting) physical laws, are examples of mixed-domain …
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A hybrid parallel framework for computational solid mechanics
… Galerkin formulations and higher order methods, multiphysics problems, hybrid meshes made of different types of elements and a number of different linear and non-linear solvers. In addition, native, seamless support is included for hardware acceleration by Graphics Processing Units (GPUs) via …
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A fast 3D particle method for simulations of buoyant and reacting flows
… vortex methods and their application to multiphysics problems. The first is the solution of a generic scalar transport equation by advecting and diffusing the scalar gradient along a particle trajectory and onto a mesh, respectively, and recovering the scalar values using a …
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A method to significantly improve finite element stress predictions
… for the analysis of solids, structures and multiphysics problems, to calculate improved stress predictions and to establish error measures. Highlights: --Novel stress improvement method is given for static, dynamic and nonlinear analysis of solids. --Focus is on the use of low-order …
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Advanced Time Integration Methods with Applications to Simulation, Inverse Problems, and Uncertainty Quantification
… The systems of interest in many fields have a multiphysics nature, with complex interactions between physical, chemical and in some cases even biological processes. This dissertation seeks to advance forward and adjoint numerical time integration methodologies for the simulation and …
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Nuclear reactor multiphysics via bond graph formalism
… effective approach to modeling nuclear reactor multiphysics problems using bond graphs. Conventional multiphysics simulation paradigms normally use operator splitting, which treats the individual physics separately and exchanges the information at every time step. This approach has limited …
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A Quadratic Non-Linear Elasticity Formulation for the Dynamic Behaviour of Fluid-Loaded Structures
… strongly-coupled fluid-structure interaction problems involving long thin structures, which are common multi-physics problems encountered in many applications. In most fluid-structure interaction problems the deformation of the slender elastic bodies is significant and cannot be described by a …