Essays about: "convection-diffusion equation"

Found 5 essays containing the words convection-diffusion equation.

  1. 1. Filtering aspects

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Johannes Pape; [2023]
    Keywords : ;

    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

  3. 2. Conservative Discontinuous Cut Finite Element Methods: Convection-Diffusion Problems in Evolving Bulk-Interface Domains

    University essay from KTH/Matematik (Inst.)

    Author : Sebastian Myrbäck; [2022]
    Keywords : numerical analysis; mathematical modeling; convection-diffusion equation; partial differential equation; unfitted method; CutFEM; finite element method; discontinuous Galerkin method; numerisk analys; matematisk modellering; konvektions-diffusionsekvationer; partiella differentialekvationer; finita elementmetoden; diskontinuerliga Galerkinmetoden;

    Abstract : This work entails studying unfitted finite element discretizations for convection-diffusion equations in domains that evolve in time. In particular, these partial differential equations model the evolution of the concentration of soluble surfactants in bulk-interface domains. READ MORE

  4. 3. A Cut Finite Element Method for Partial Differential Equations on Evolving Surfaces

    University essay from KTH/Numerisk analys, NA

    Author : Johan Wärnegård; [2016]
    Keywords : ;

    Abstract : This thesis deals with cut finite element methods (CutFEM) for solving partial differential equations (PDEs) on evolving interfaces. Such PDEs arise for example in the study of insoluble surfactants in multiphase flow. In CutFEM, the interface is embedded in a larger mesh which need not respect the geometry of the interface. READ MORE

  5. 4. Performance comparisons of preconditioned iterative methods for problems arising in PDE-constrained optimization

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Shiraz Farouq; [2015]
    Keywords : ;

    Abstract : The governing dynamics of simple and complex processes, whether physical, biological, social, economic, engineering, or even rather a mere figment of imagination, can be studied via numerical simulations of mathematical models. These models in many cases can be thought to consist of one, or frequently, several coupled partial differential equations (PDEs). READ MORE

  6. 5. A Finite Element Time Relaxation Method

    University essay from Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE)

    Author : Mohan Varma Valivarthi; Hema Chandra Babu Muthyala; [2012]
    Keywords : high Reynolds flow; time relaxation; local projections; convection-diffusion equation;

    Abstract : In our project we discuss a finite element time-relaxation method for high Reynolds number flows. The key idea consists of using local projections on polynomials defined on macro element of each pair of two elements sharing a face. We give the formulation for the scalar convection–diffusion equation and a numerical illustration. . READ MORE