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Showing 1 to 20 of 156 for “"Numerical scheme"”.
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A wavelet-based numerical scheme for stochastic mechanics
… fields. It is shown that such a representation scheme leads to significantly decorrelated wavelet coefficients. The amount of decorrelation obtained is an improvement over that achieved with orthonormal wavelet basis functions. It is shown that a biorthogonal dual wavelets with sufficient number …
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A Numerical Scheme for Mullins-Sekerka Flow in Three Space Dimensions
… using boundary integrals.</p> <p>A semi-implicit scheme to solve the free boundary problem numerically is implemented. Numerical analysis tasks include discretizing surfaces, overcoming node bunching, and dealing with topology change in a toroidal particle. A particle (node)-cluster technique is …
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A new hybrid numerical scheme for simulating fault ruptures with near fault bulk inhomogeneities
… This strip, then, is discretized using a FD scheme in space and time while the virtual boundaries of the strip are handled using the SBI formulation that represents the two elastic half spaces outside the strip. Modeling the elastodynamic response in these two halfspaces needs to be carried …
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A high-order Legendre-WENO numerical scheme for the non-conservative kernel density equations modeling particle-laden flows
A numerical scheme is developed to integrate the kernel density equations for the particle phase of disperse flows. The kernel density equations arise from least squares minimization of the approximation of the position-velocity phase-space particle distribution by a sum of kernel density …
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Analysis and numerical approximations of exact controllability problems for systems governed by parabolic differential equations
… is the limit of appropriate optimal controls. A numerical scheme of computing exact controls for linear parabolic equations is constructed based on this result. To obtain numerical approximation of the exact control for the Burger's equation, we first construct another numerical scheme of …
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Modeling and Numerics for Two Partial Differential Equation Systems Arising From Nanoscale Physics
… more questions to be addressed in the form of numerical simulations. At the same time, novel materials arising from advances in physics and material sciences are creating new problems which must be addressed. This thesis focuses on two such materials, organic semiconductors and graphene. In …
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Dynamic mesh adaption for supersonic combustion waves modeled with detailed reaction mechanisms
… has emerged as a powerful tool to reduce the <br>numerical cost of CFD problems. We use this technique to resolve the <br>disparate physical scales of reactive flow problems. <br>In our numerical scheme, we combine the dynamic mesh adaption with <br>an explicit as well as implicit upwind finite …
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Arbitrary Lagrangian-Eulerian form of flowfield dependent variation (ALE-ADV) method for moving boundary problems
… (FDV) method is a mixed explicit-implicit numerical scheme that was originally developed to solve complex flow problems through the use of so-called implicitness parameters. These parameters determine the implicitness of FDV method by evaluating local gradients of physical flow parameters, …
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Topics on option valuation and model calibration
This dissertation is devoted to high performance numerical methods for option valuation and model calibration in L´evy process and stochastic volatility models. In the first part, a numerical scheme for simulating from an analytic characteristic function is developed. Theoretically, error bounds …
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Regularity and Numerics for stochastic p-Laplace and symmetric p-Stokes systems
… solve the systems, by which we mean that we find numerical values for the solution variable. <br /><br /> Both models are related to non-Newtonian fluids, more specifically, power-law fluids. We discuss the derivation of fluid models for non-Newtonian fluids based on physical principles. In …
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Global Positioning System in Curved Space-Time and Other Applications of General Relativity
… theory of General Relativity. First, we show a numerical scheme to account for relativistic effects in the Global Positioning System. Then, a couple of applications of astrophysical interest are worked out. These are the study of the gravitational collapse of stars and the dynamical evolution of …
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Investigation of infinite-dimensional dynamical system models applicable to granular flows
… model. In addition, an innovative semi-discrete numerical scheme for obtaining approximate solutions is described in detail and the questions of consistency, convergence, stability and accuracy of the scheme are treated at considerable length. It is shown how this numerical scheme can be used to …
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Extrinsic Cohesive Modeling of Dynamic Fracture and Microbranching Instability Using a Topological Data Structure
Realistic numerical analysis of dynamic failure process has long been a challenge in the field of computational mechanics. The challenge consists of two aspects: a realistic representation of fracture criteria, and its efficient incorporation into a viable numerical scheme. This study investigates …
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Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements
… for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of the NSE with PPE is derived and used in the Galerkin Finite Element discretization. The Galerkin finite element method is then used to solve the NSE with PPE. Moderate accuracy is …
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Aerodynamics study of the flowfield at a shelterbelt
… a field observation, or implementing a numerical simulation to investigate shelterbelt effects, researchers are more interested in an optimum reduction in a thin air lasier near the ground on the leeside of the shelterbelt rather than total wind-speed reduction in the whole flowfield. …
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Dynamic delamination of patterned thin films
We present here a novel experimental/numerical protocol to extract the fracture toughness of the thin film/substrate interface. The testing method involves using a laser-induced acoustic stress wave to load the film/substrate fracture plane in tension at very high strain rate (~10^7/s) leading to …
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Efficient moving mesh methods for Q-tensor models of liquid crystals
… increase in the need for more effective numerical modelling tools in the area. In this thesis, an adaptive finite element method is used to solve a non-linear singularly perturbed boundary value problem which arises from a one dimensional Q-tensor model of liquid crystals.;The adaptive …
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Mathematical modelling of the development of cyanobacteria (blue-green algae) in an eutrophical lake, including aspects of toxicology
… function for the cell density function, then a numerical scheme is developed to allow the full function for cell density to be used.<br/><br/>The numerical scheme is developed using the object-oriented paradigm for programme construction which allows easy extensions to be made to the model when …
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ΑΡΙΘΜΗΤΙΚΗ ΜΕΛΕΤΗ ΤΗΣ ΤΡΙΔΙΑΣΤΑΤΗΣ ΠΑΡΑΚΤΙΑΣ ΚΥΚΛΟΦΟΡΙΑΣ ΜΕ ΑΛΓΕΒΡΙΚΟΥΣ ΜΕΤΑΣΧΗΜΑΤΙΣΜΟΥΣ
… ALGEBRAIC TRANSFORMATION IS INTRODUCED FOR NUMERICAL SOLUTION OF THE MATHEMATICAL MODEL, WHICH IS CREATING A BOUNDARY FITTED CURVILINEAR COORDINATE SYSTEM. THE EQUATIONS AND BOUNDARY CONDITIONS OF QUASI-HORIZONTAL HYDRODYNAMIC CIRCULATION ARE TRANSFORMED TO THE CURVILINEAR SYSTEM. A …
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Towards Predictive Eddy Resolving Simulations for Gas Turbine Compressors
… uncertainty. Specifically, the importance of the numerical scheme, the Sub-Grid Scale (SGS) model, and the correct specification of inflow turbulence is examined. The sensitivity of LES to the numerical scheme is explored using the Taylor-Green vortex test case. The numerical smoothing, controlled …
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