Search for dissertations about: "High-order"
Showing result 1 - 5 of 192 swedish dissertations containing the word High-order.
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1. Stable High-Order Finite Difference Methods for Aerodynamics
Abstract : 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. READ MORE
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2. High Order Symmetric Finite Difference Schemes for the Acoustic Wave Equation
Abstract : 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. READ MORE
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3. A hybrid high order method for simulation of turbulent flow in complex geometries
Abstract : .... READ MORE
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4. A new high-order method for direct numerical simulations of turbulent wall-bounded flows
Abstract : 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. READ MORE
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5. High order summation-by-parts methods in time and space
Abstract : This thesis develops the methodology for solving initial boundary value problems with the use of summation-by-parts discretizations. The combination of high orders of accuracy and a systematic approach to construct provably stable boundary and interface procedures makes this methodology especially suitable for scientific computations with high demands on efficiency and robustness. READ MORE