Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 29 for “"Cartesian grid"”.
-
Bayesian optimization and Cartesian-grid simulations for artificial reef design
… using Bayesian optimization in combination with Cartesian-grid simulations and towing tank experiments. To ensure the structure’s strength, ease of implementation, and biocompatibility, the reef structures were designed to be porous. Finally, the complete artificial reef was constructed and …
-
A z-ordering cartesian grid method and its application in flow simulation
A new method of automatic and robust Cartesian mesh generation method for two-dimensional and three-dimensional flow simulation problems is developed and introduced in this thesis. The new algorithm adopts an idea of zigzag mapping from computer graphics for terrain generation. Three achievements …
-
The study on adaptive Cartesian grid methods for compressible flow and their applications
… focused on the development of the adaptive Cartesian grid methods for compressibl e flow. At first, the ghost cell method and its applications for inviscid compressible flow on adaptive tree Cartesian grid are developed. The proposed method is successfully used to evaluate various inviscid …
-
A Cartesian finite-volume method for the Euler equations
… a finite-volume method with a non-body-fitted Cartesian grid. A new numerical formulation for complicated body geometries is developed in conjunction with implicit flux-splitting schemes. A variety of numerical computations have been performed to validate the numerical methodologies developed. …
-
Large Eddy Simulations of complex turbulent flows
… the efficiency inherent in using a fixed Cartesian grid to compute the fluid motion, along with the ease of tracking the immersed boundary at a set of moving Lagrangian points. Numerical code developed for this dissertation solves unsteady, filtered Navier-Stokes equations using high-order …
-
Simulation of thin elastic solids in the incompressible viscous flow using implicit interface representation
… fluid-structure interaction problems in the Cartesian grid. Unlike the typical Immersed Interfaced Method (IIM), we define thin non-stretchable solid interface with the Level Set function. In addition, we developed a partial differential equation which represents the bending rigidity of the …
-
A blurred interface formulation of The Reference Map Technique for Fluid-Solid Interactions and Fluid-Solid-Solid Interactions
… deformations all performed on a single Eulerian grid with no Lagrangian particles whatsoever. The Reference Map Technique (RMT) provides an Eulerian simulation framework allowing to compute fully coupled fluid/soft-solid interactions. However, due to the extrapolations inherent to the Ghost Fluid …
-
A fast enriched FEM for Poisson equations involving interfaces
… complex geometry interfaces by using regular Cartesian grids. The presence of interfaces is accounted for by developing suitable jump conditions. The immersed boundary method (IBM) and the immersed interface method (IIM) are successfully used to solve these problems when combined with a fast …
-
The soft grid
The grid in architecture is a systematic organization of space. The means that architects use to organize space are, almost by definition, rigid and totalizing. The Cartesian grid, which will serve as the antagonist of the soft grid, is geometrically and topologically unyielding on both the local …
-
Dual-Doppler Derived Vorticity as a Predictor of Hail Size in Severe Thunderstorms
… were resampled to a three-dimensional Cartesian grid and a dual-Doppler analysis was run on each case study. A strong correlation (stronger even than the MESH algorithm) was found between measured vorticity and hail size, lending credence to the idea that rotating storms do indeed have …
-
Physics and learning based computational models for breaking bow waves based on new boundary immersion approaches
… Methods which immerse physical boundaries on Cartesian background grids can model complex topologies and are well suited to study breaking bow waves. However, current methods such as Volume of Fluid and Immersed Boundary methods have numerical and modeling limitations. This thesis advances the …
-
The applicability of lattice BGK modelling for turbulent hydrodynamics in internal geometrics.
… symmetric systems on two dimensional Cartesian lattices is addressed. Work is presented on transforming the governing lattice Boltzmann BGK equation, to enable the use of a regular Cartesian grid for performing simulations of flow in pipes. Results for pipe flow are compared to the …
-
Investigation of smooth contact angle treatment in porous media
… the lattice Boltzmann implementation employs a Cartesian grid for domain discretisation that is unable to conform with curved surfaces.;It misinterprets those curved surfaces as a series of stair-like patterns. On those surfaces, a non-physical contact angle could be defined which may lead to a …
-
Large Eddy Simulation of Labyrinth Seals and Rib Shapes for Internal Cooling Passges
… of geometries can be represented on a background Cartesian grid. To obtain the best sealing performance, an investigation is undertaken into the possibility of optimising labyrinth seal planforms using a genetic algorithm ( GA ). By making use of the large number of populations, a much faster …
-
An improved volumetric LBM boundary approach and its extension for sliding mesh simulation
… on a solid surface, thus enable the use of Cartesian grid for accurate boundary representation. For curved boundary that is commonly encountered with complex geometry, available point-wise based LBM extrapolation/interpolation boundary schemes can not guarantee the exact hydrodynamic flux …
-
Nonuniform generalized sampling
… samples are often taken not necessarily on a Cartesian grid, but rather along spiral trajectories or radial lines. Specifically, NUGS provides stable recovery in a desired reconstruction space subject to sufficient sampling density and sufficient sampling bandwidth, where the latter depends …
-
High Order Immersed Finite Difference Methods for Complex Domains with Moving Boundaries and Interfaces
… by simulating moving geometries on a stationary Cartesian grid, locally altering the numerical method to account for boundaries and interfaces that are not grid-aligned. Most existing immersed methods have low-order spatial accuracy, requiring fine grids to generate accurate results. High order …
-
Fast Sweeping Methods for Steady State Hyperbolic Conservation Problems and Numerical Applications for Shape Optimization and Computational Cell Biology
… contour of a level set function defined on a Cartesian grid. It allows us to update the level set function on a fixed grid mesh instead of moving grid points on the curve. This strategy not only works well for the complex system of a single cell, but also shows great advantage in multi-cell …
-
Mathematical and Computational Models for Transient Magnetohydrodynamic Flows of Magnetically Confined Plasmas
… integration and a finite volume approach on a Cartesian grid taking advantage of hierarchical adaptive mesh refinement techniques both in space and time. A key element of this methodology is the discretisation of topologically complex rigid boundaries as well as material and state of matter …
-
Multiphysics algorithms for the simulation of geological materials under extreme conditions: the evolution and transport of ablated material
… viscosity. The equations are discretised into a Cartesian grid, with each phase treated separately using a modified HLLC solver. In particular, the granular phase equations suffer from instability when the particle concentration is dense, stemming from the diverging internal stresses near the …
Page 1 of 2