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 31 for “"Finite difference schemes"”.
-
Analysis and Implementation of High-Order Compact Finite Difference Schemes
The derivation of centered compact schemes at interior and boundary grid points is performed and an analysis of stability and computational efficiency is given. Compact schemes are high order implicit methods for numerical solutions of initial and/or boundary value problems modeled by differential …
-
High-Order Finite-Difference Schemes and Their Application to Computational Acoustics
… is upon the numerical stability of high-order finite-difference schemes and their application to duct acoustics. Since acoustic waves are known to be non-dissipative and non-dispersive, high-order schemes are favored for their low dissipation and low dispersion relative to the low-order …
-
Lie group invariant finite-difference schemes for the neutron diffusion equation
Finite difference techniques are used to solve a variety of differential equations. For the neutron diffusion equation, the typical local truncation error for standard finite difference approximation is on the order of the mesh spacing squared. To improve the accuracy of the finite difference …
-
Numerical analysis of finite difference schemes in automatically generated mathematical modeling software
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1994.
-
Optimized finite difference schemes for wave propagation in high loss viscoelastic material
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1994.
-
Solution of the advection equation using finite difference schemes and the method of characteristics
… to solve the advection term. Two-dimensional finite difference schemes, including QUICKEST, are compared with multi-point method of characteristics techniques. These are analysed in terms of solving advection for various distributions of concentration. The adaptation of these schemes to allow …
-
Numerical modelling of solute transport processes using higher order accurate finite difference schemes. Numerical treatment of flooding and drying in tidal flow simulations and higher order accurate finite difference modelling of the advection diffusion equation for solute transport predictions.
… appreciated that the first order upwind difference scheme gives rise to excessive numerical diffusion, whereas the conventional second order central difference scheme exhibits severe oscillations for advection dominated transport, especially in regions of high solute gradients or …
-
Growth Suppression in Simulated Compressible Turbulent Mixing Layers
… simulations of turbulent flows require numerical schemes with high resolution and grid flexibility. Resolution properties of B-spline and compact finite-difference schemes are evaluated using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite …
-
A WENO finite difference scheme for a new class of Hamilton-Jacobi equations in electroelastostatics
… (1983) proved that a certain type of first-order finite difference method converges to the viscosity solution of a special class of Hamilton-Jacobi equations. From then on several successful methods of high-order approximation have been proposed in the literature, including the so-called WENO …
-
ERROR BOUNDS OF COMPACT FINITE DIFFERENCE METHODS FOR SOME DISPERSIVE PDEs AND APPLICATIONS
… to propose and analyze some fourth-order compact finite difference schemes (4cFDs) for approximating several highly oscillatory dispersive PDEs, including the nonlinear Klein-Gordon equation in the nonrelativistic regime and the Zakharov system in the subsonic regime. Proofs of error estimate …
-
Application of a Numerical Method and Optimal Control Theory to a Partial Differential Equation Model for a Bacterial Infection in a Chronic Wound
… partial differential equations. This method uses finite difference schemes to discretize the spatial variable over an N-point mesh, thereby converting each partial differential equation into N ordinary differential equations. These equations can then be solved using numerical routines defined for …
-
Local Factorization of Multidimensional Differential Operators to Optimize Implicit Solution Methods
… differential operators using implicit finite-difference methods involves a computationally intensive step of calculating the solution to a system that involves both the current and future state of the system. If a linear operator can be expressed as an affine combination of sufficiently …
-
Numerical methods for weather derivatives pricing
… numerical methods that are special cases of finite-difference schemes and nonstandard finite difference combined with the operator splitting approaches, are proposed. The methods are effective on handling with convection dominant condition and preserve the positivity. The positivity and …
-
Implementation of Chemical Flooding Module into the General Purpose Adaptive Simulator
… correctness of the mathematical formulation, the finite-difference schemes and the code and to compare the accuracy and efficiency of the different methods. Both continuous injection and tracer slug concentration profiles and history numerical results were compared with analytical solutions and …
-
Constraint preserving boundary conditions for the linearized Einstein equations
… successful construction of long time convergent finite difference schemes approximating highly gravitating systems in general relativity remains an elusive task. The presence of constraints and the introduction of artificial time-like boundaries contribute significantly to the difficulty of this …
-
Layer-adapted meshes for convection-diffusion problems
… analysis for various numerical methods: finite differences, finite elements and finite volumes. While for finite difference schemes applied to one-dimensional problems a rather complete convergence theory for arbitrary meshes is developed, the theory is more fragmentary for other methods …
-
Numerical techniques for computational aeroacoustics
… are solved numerically. After considering a finite volume technique of improved accuracy, preference is given to an optimised higher order finite difference scheme which is validated against analytical solutions of the governing equations. A coupling technique of two different CFD codes with …
-
STRAIN-HARDENING AND RATE EFFECTS IN PLASTICITY
… motion between the die and billet is prevented. Finite element and finite difference schemes are used to calculate the total work required to produce indentation and extrusion processes; work is then converted to the pressure or force. Atlan and Boulger (4), Adams and Beese (1), and Holzer (54) …
-
High fidelity simulations of electrokinetic phenomena in microfluidic devices
… A multiblock in-house solver based on high-order finite difference schemes is developed to solve the system of equations and thus to numerically capture essential physics of ITP and EKI in microfluidic devices. Validation of the solver is provided for one-dimensional ITP problems in which sharp …
-
Perfectly Matched Layer Absorbing Boundary Conditions for the Discrete Velocity Boltzmann-BGK Equation
… are presented in two and three dimensions. A finite difference and a lattice model are considered for the solution of the PML equations. The linear stability of the PML equations is investigated for both models. The small relaxation time needed for the discrete velocity Boltzmann-BC4K model to …
Page 1 of 2