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Showing result 1 - 5 of 8 essays matching the above criteria.

  1. 1. Simulation of Viscosity-Stratified Flow

    University essay from

    Author : Victor Carlsson; Philip Isaac; Persson Adina; [2020]
    Keywords : Burgers equation; flow; SAT; projection method; boundary treatment;

    Abstract : The aim of this project is to study the viscous Burgers' equation for the case where the viscosity is constant, but also when it contains a jump in viscosity. In the first case where the viscosity is constant, Burgers' is simply solved on a singular domain. READ MORE

  3. 2. A Numerical Solution to the Incompressible Navier-Stokes Equations

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Gustav Eriksson; [2019]
    Keywords : navier-stokes; incompressible; cfd; sbp; sat; hofdm;

    Abstract : A finite difference based solution method is derived for the velocity-pressure formulation of the two-dimensional incompressible Navier-Stokes equations. The method is proven stable using the energy method, facilitated by SBP operators, for characteristic and Dirichlet boundary condition implemented using the SAT technique. READ MORE

  4. 3. Efficient numerical methods for the shallow water equations

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Lukas Lundgren; [2018]
    Keywords : shallow water equations; sbp; sat; finite difference;

    Abstract : In this thesis a high order finite difference scheme is derived and implemented solving the shallow water equations using the SBP-SAT method. This method was tested against various benchmark problems were convergence was verified. READ MORE

  5. 4. High Order finite difference methods for the wave equation with T-junction grid interfaces

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Aron Rindstedt; [2016]
    Keywords : ;

    Abstract : We investigate higher order SBP-SAT discretizations of the wave equation for T-junction domains. We indicate stability for our discretization for fourth order operators. We construct a differently formulated proof for stability for a previously constructed discretization of the wave equation for interface domains. READ MORE

  6. 5. High-fidelity 3D acoustic simulations of wind turbines with irregular terrain and different atmospheric profiles

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Erik Hedlund; [2016]
    Keywords : wave propagation; irregular terrain; high-order finite difference methods;

    Abstract : We study noise from wind turbines while taking irregular terrain and non-constant atmosphere into consideration. We will show that simulating the distribution of 3D acoustic waves can be done by using only low frequencies, thus reducing the computational complexity significantly. .. READ MORE