Essays about: "Burgers equation"
Showing result 1 - 5 of 10 essays containing the words Burgers equation.
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1. Filtering aspects
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : In this report, a Fourier spectral approximation of the solution to the linear convection--diffusion equation for initial conditions of different smoothness, and for Burger's equation for the initial condition f(x) = sin(x), was constructed, and implemented. Three different filters (Cesàro, Lanczos, and 4--th order exponential cutoff) were either applied to the initial condition or to the numerical approximation after the last integration step has been performed. READ MORE
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2. Solving Korteweg-de Vries equations with Discontinuous Galerkin methods
University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakultetenAbstract : In this thesis the Discontinuous Galerkin approximation performance applied to the Korteweg–de Vries equation is investigated. This equation is nonlinear with a third spatial derivative and can be used for shallow water movement. READ MORE
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3. Comparative Analysis of Adaptive Domain Decomposition Algorithms for a Time-Spectral Method
University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)Abstract : Time-spectral solvers for partial differential equations (PDE) have been explored in various forms during the last few decades. The generalized weighted residual method (GWRM) is one such method with a high accuracy and efficiency. The GWRM has so far been implemented almost exclusively with a uniform grid of subdomains in the spatial domain. READ MORE
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4. Simulation of Viscosity-Stratified Flow
University essay fromAbstract : 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
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5. A stable and accurate hybrid FE-FD method
University essay from Uppsala universitet/Institutionen för informationsteknologiAbstract : We develop a hybrid method to couple finite difference methods and finite element methods in a nonconforming multiblock fashion. The aim is to optimize computational efficiency when complex geometries present. READ MORE