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Showing 1 to 16 of 16 for “"Cartesian Mesh"”.
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A Fixed -Mesh Flow-Structure Solver for Biological Systems With Large Solid Deformations
… the method is analyzed with respect to both the Cartesian mesh spacing and the solid Lagrangian mesh element size. The method is demonstrated by a few example simulations. Finally; we discuss the generalization of the method to three dimensions and to solving problems with mismatched densities …
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Fully anisotropic split-tree adaptive refinement mesh generation using tetrahedral mesh stitching
… modern computational fluid dynamicists desire to mesh and run solutions on, the need for a robust Cartesian Mesh Generation algorithm is paramount. Not only do Cartesian meshes require less elements and often help resolve flow features but they also allow the grid generator to have a great deal of …
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Sonic boom prediction methods using feature-based adaptation of unstructured meshes
… method uses P_HUGG, a parallel hierarchical Cartesian mesh generation algorithm to generate a volume mesh, with the solution-based mesh adaptation capability of P_HUGG being exploited. The mesh quality was improved using P_OPT, a parallel optimization-based mesh-smoothing program. In the …
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Investigations into a positron emission imaging algorithm
… parameterises the lines-of-response by a Cartesian mesh over the field-of-view of a Positron Emission Tomography (PET) scanner to find their density distribution throughout the mesh. The algorithm is applied to PET image reconstruction and Positron Emission Particle Tracking (PEPT). For …
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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 …
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Vertex-based discretisation methods for thermo-fluid flow in a finite volume-unstructured mesh context
… of flow variables on unstructured skewed meshes whilst working within a Finite Volume (FV) context. A three-dimensional vertex-based FV algorithm for the solution of thermo- fluid flow problems has been developed and integrated within a multi-physics FV framework PHYSICA. Currently PHYSICA …
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Development of the DRACO ES-PIC code and Fully-Kinetic Simulation of Ion Beam Neutralization
… The particles are tracked on a non-standard mesh, which combines the benefits of a Cartesian mesh with the surface-resolving power of an unstructured mesh. DRACO contains its own mesher, called VOLCAR, which is also described in this work. DRACO was applied to a fully kinetic simulation of an …
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Large eddy simulations of turbulent flows on graphics processing units: application to film-cooling flows
… eddies are resolved by the computational mesh, but the smaller (sub-grid) scales are modeled. In DNS, all scales of turbulence are resolved, including the smallest dissipative (Kolmogorov) scales. Clusters of CPUs have been the standard approach for such simulations, but an emerging …
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Application of pressure-projection algorithms to a sharp projection immersed boundary method for the incompressible Navier-Stokes equations
… solving on an Eulerian grid (usually a uniform Cartesian mesh) which does not necessarily conform to the body's geometry. Some underlying mechanism is then needed to exchange information between the flow field described by the Eulerian discretization to the set of Lagrangian points which lie on …
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Detailed simulations of bubble-cluster dynamics
… thick enough to be resolved by the underlying mesh and numerical method, yet thin enough to provide an efficient model for dynamics of well-resolved scales. A key advance in our method is that the interface regularization is asymptotically compatible with the thermodynamic laws of the mixture …
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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 …
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New efficient contact discontinuity capturing techniques in supersonic flow simulations
… an LDA-scheme discretization on a triangulated Cartesian mesh that uses diagonal adaptive strategy. The LDA scheme developed by Struijs, Deconinck and Roe has the property of being second-order accurate and linear for a scalar advection equation. It is implemented for the Boltzmann equation …
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Mesoscopic Numerical Methods for Reactive Flows: Lattice Boltzmann Method and Beyond
… set of discrete directions (links) on a regular Cartesian grid, in analogy with LBM. The main advantage is the possibility of exploiting well established technologies originally developed for LBM and classical computational fluid dynamics, with special emphasis on finite differences, at the cost …
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Nonconforming Immersed Finite Element Methods for Interface Problems
… the nonconforming rotated Q1 "finite elements on Cartesian meshes. The degrees of freedom of these IFE spaces are determined by midpoint values or average integral values on edges. We investigate fundamental properties of these IFE spaces, such as unisolvency and partition of unity, and extend …
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Managing complexity in high-concentration flow modelling aimed at hazard assessment: numerical and practical aspects
… system of Partial Differential Equations over a Cartesian mesh by means of a finite-volume method with Godunov-type fluxes. By means of TRENT2D, the back-analysis of a couple of real debris-flow events occurred in Italy was first performed. These applications revealed clearly some troublesome …
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Computational modeling and simulation of nonlinear electromagnetic and multiphysics problems
… algorithm can dynamically refine the mesh to resolve the local variation of the fields during the wave propagation, while the dynamic p-adaptation algorithm can determine and adjust the basis order in real time during the simulation. Both algorithms developed and investigated in this …