Essays about: "SBP-SAT"

Showing result 1 - 5 of 17 essays containing the word SBP-SAT.

  1. 1. Simulation of low frequency acoustic waves in small rooms : An SBP-SAT approach to solving the time dependent acoustic wave equation in three dimensions

    University essay from

    Author : Alva Fährlin; Olle Edgren Schüllerqvist; [2023]
    Keywords : room acoustics; numerical methods; SBP; SAT; acoustic wave equation.;

    Abstract : Low frequency acoustic room behaviour can be approximated using numerical methods. Traditionally, music studio control rooms are built with complex geometries, making their eigenmodes difficult to predict mathematically. READ MORE

  3. 2. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Vilma Kjelldahl; [2023]
    Keywords : Benjamin-Bona-Mahony equation; non-linear; initial boundary value problem; summation-by-parts; simultaneous-approximation-term; time integration; simulation;

    Abstract : This paper describes simulations of the generalized modified Benjamin-Bona-Mahony (BBM) equation, using finite difference methods (FDM). Well-posed boundary conditions (BCs) as well as stable semi-discrete approximations are derived using summations-by-parts (SBP) operators combined with the projection method. READ MORE

  4. 3. Computation of Acoustic Wave Propagation Under Water

    University essay from KTH/Matematik (Avd.)

    Author : Frida Thörn; [2022]
    Keywords : Wave equation; Helmholtz equation; Waveholtz iteration; finite difference method; summation by parts; energy method; point source; curvilinear coordinates; vågekvationen; helmholtz ekvation; waveholtz iteration; finita differens methoden; energimetoden; punktkälla; kurvlinjära koordinater; kroklinjiga koordinater; SBP;

    Abstract : In this thesis we look at acoustic wave propagation under water. We look in particular at waves generated by a point source and what happens with the propagation when we model the bottom as flat or as curvilinear. We assume the source to be working at a certain frequency and therefore we model this problem by solving the Helmholtz equation. READ MORE

  5. 4. Sound Propagation Through Walls

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Alexander Berglund; Fredrik Herbai; Jonas Wedén; [2021]
    Keywords : acoustics; wave propagation; infrasound; finite difference methods; SBP-SAT; one dimension; analytical calculation; numerical simulation;

    Abstract : Infrasound is undetectable by the human ear and excessive exposure may be a substantial health risk. Low frequency sound propagates through walls with minimal attenuation, making it difficult to avoid. This study interprets the results from both analytical calculations and simulations of pressure waves propagating through a wall in one dimension. READ MORE

  6. 5. An exploration of classical SBP-SAT operators and their minimal size

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Jesper Nilsson; [2021]
    Keywords : Finite differences; summation by parts; simultaneous approximation term; SBP-SAT; discretization matrix inverses;

    Abstract : We consider diagonal-norm classical summation-by-parts (SBP) operators us-ing the simultaneous approximation term (SAT) method of imposing boundaryconditions. We derive a formula for the inverse of these SBP-SAT discretizationmatrices. READ MORE