Sökning: "PDE"

Visar resultat 1 - 5 av 61 uppsatser innehållade ordet PDE.

  1. 1. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks

    Master-uppsats, KTH/Tillämpad fysik

    Författare :Jonathan Karlsson; [2023]
    Nyckelord :Acoustofluidics; Acoustophoresis; Ultrasonic Standing Waves; Acoustic fields; Particle tracking; Bio marking; Akustofluidik; Akustofores; Stående Ultraljuds Vågor; Akustiska fält; Particle tracking; Bio-markering;

    Sammanfattning : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. LÄS MER

  3. 2. Simulering av vattenburen golvvärme med finita elementmetoden : värmeavgivning vid olika mönster för rörläggning

    Uppsats för yrkesexamina på avancerad nivå, Uppsala universitet/Tillämpad materialvetenskap; Uppsala universitet/Byggteknik och byggd miljö

    Författare :Joakim Nyberg; [2023]
    Nyckelord :comsol; finite element method; multiphysics; multiphysics simulation; PDE; DE; FEM; 4GDH; governing equations; simulering; comsol; vattenburen golvvärme; golvvärme; FEM; finita elementmetoden; PDE; partiella differentialekvationer; fjärde generationens fjärrvärme; 4GFV; EAS; värmesimulering;

    Sammanfattning : This report formulates the boundary conditions and discretization method for conducting a simulation of heat with liquids and solids through the finite element method. It introduces the reader to the movement that is due today with optimization of heat transport and mitigation generally described as the fourth generation of district heating. LÄS MER

  4. 3. Evaluation of Physics Informed Neural Networks in engineering simple structural analysis problems

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Georgios Nentidis; [2023]
    Nyckelord :;

    Sammanfattning : Neural Networks have found many applications for a long time in Machine Learning in different disciplines, and have especially flourished in the last decade because of the ever-increasing processing power especially from GPUs. Because of their ability to operate as universal function approximators and model nonlinear processes, attempts have been made in recent years to be also used for modeling partial differential equation (PDE) solutions. LÄS MER

  5. 4. Improved Statistical Methods for Elliptic Stochastic Homogenization Problems : Application of Multi Level- and Multi Index Monte Carlo on Elliptic Stochastic Homogenization Problems

    Kandidat-uppsats, Uppsala universitet/Tillämpad beräkningsvetenskap

    Författare :Khalil Daloul; [2023]
    Nyckelord :Homogenization; Multilevel Monte Carlo; Multi-Index Monte Carlo; Monte Carlo; Multiscale methods;

    Sammanfattning : In numerical multiscale methods, one relies on a coupling between macroscopic model and a microscopic model. The macroscopic model does not include the microscopic properties that the microscopic model offers and that are vital for the desired solution. LÄS MER

  7. 5. Implementation and study of boundary integral operators related to PDE:s in the plane

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Erik Andersson; [2023]
    Nyckelord :Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

    Sammanfattning : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. LÄS MER