# Sökning: "high order accuracy"

Visar resultat 1 - 5 av 503 avhandlingar innehållade orden high order accuracy.

1. ## 1. Stable High-Order Finite Difference Methods for Aerodynamics

Sammanfattning : In this thesis, the numerical solution of time-dependent partial differential equations (PDE) is studied. In particular high-order finite difference methods on Summation-by-parts (SBP) form are analysed and applied to model problems as well as the PDEs governing aerodynamics. LÄS MER

2. ## 2. Summation-by-Parts Operators for High Order Finite Difference Methods

Sammanfattning : High order accurate finite difference methods for hyperbolic and parabolic initial boundary value problems (IBVPs) are considered. Particular focus is on time dependent wave propagating problems in complex domains. Typical applications are acoustic and electromagnetic wave propagation and fluid dynamics. LÄS MER

3. ## 3. High Order Symmetric Finite Difference Schemes for the Acoustic Wave Equation

Sammanfattning : When someone speaks, or when a piano is played, sound waves are spread through the room. Physically the propagation of sound is governed by the acoustic wave equation. This thesis deals with the problem of finding solutions to this equation by numerical methods. LÄS MER

4. ## 4. Stable and High-Order Finite Difference Methods for Multiphysics Flow Problems

Sammanfattning : Partial differential equations (PDEs) are used to model various phenomena in nature and society, ranging from the motion of fluids and electromagnetic waves to the stock market and traffic jams. There are many methods for numerically approximating solutions to PDEs. LÄS MER

5. ## 5. A new high-order method for direct numerical simulations of turbulent wall-bounded flows

Sammanfattning : A new method to perform direct numerical simulations of wall-bounded flows has been developed and implemented. The method uses high-order compact finite differences in wall-normal (for channel flow) or radial direction (for pipe flow) on a collocated grid, which gives high-accuracy results without the effectfof filtering caused by frequent interpolation as required on a staggered grid. LÄS MER