Search for dissertations about: "high-order"

Showing result 1 - 5 of 158 swedish dissertations containing the word high-order.

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

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Magnus Svärd; Uppsala universitet.; Uppsala universitet.; [2004]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys; finite difference methods; high-order accuracy; summation-by-parts; stability; energy estimates; finite volume methods; MATHEMATICS Applied mathematics Numerical analysis; MATEMATIK Tillämpad matematik Numerisk analys; Scientific Computing; Beräkningsvetenskap;

    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

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

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Abraham Zemui; Uppsala universitet.; Uppsala universitet.; [2003]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; mass lumping; high order; finite difference method; wave equation; Numerical Analysis; Numerisk analys;

    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

  3. 3. A hybrid high order method for simulation of turbulent flow in complex geometries

    University dissertation from Stockholm : Mekanik

    Author : Arnim Brüger; KTH.; [2004]
    Keywords : Navier-Stokes; high order; spectral methods; curvilinear coordinates; approximate factorization; iterative methods; turbulence;

    Abstract : .... READ MORE

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

    University dissertation from Stockholm : KTH Royal Institute of Technology

    Author : Peter Lenaers; KTH.; [2014]
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Incompressible wall-bounded flows; direct numerical simulations; high-order; compact finite differences; collocated grid; influence matrix method;

    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

  5. 5. High order summation-by-parts methods in time and space

    University dissertation from Linköping : Linköping University Electronic Press

    Author : Tomas Lundquist; Linköpings universitet.; Linköpings universitet.; [2016]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; summation-by-parts; time integration; stiff problems; weak initial conditions; high order methods; simultaneous-approximation-term; finite difference; discontinuous Galerkin; spectral methods; conservation; energy stability; complex geometries; non-conforming grid interfaces; interpolation;

    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