Essays about: "two-scale"

Showing result 1 - 5 of 6 essays containing the word two-scale.

  1. 1. Homogenization of a higher gradient heat equation: Numerical solution of the cell problem using quadratic B--spline based finite elements

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Samba Dumbuya; [2023]
    Keywords : Homogenization of a higher gradient heat equation; Two-scale expansion; fourth-order cell problem; temperature distribution; quadratic B-spline; finite element methods; effective conductivity vs volume fraction;

    Abstract : This study focuses on the numerical solution of a fourth-order cell problem obtained through a two- scale expansion approach applied to a higher gradient heat equation microscopic problem involving temperature distributions. The main objective is to investigate the temperature field within the macroscale domain and compute the effective conductivity using finite element methods. READ MORE

  3. 2. Homogenization of an elliptic transmission system modeling the flux of oxygen from blood vessels to tissues

    University essay from

    Author : Filippo Di Tillio; [2021]
    Keywords : ;

    Abstract : Motivated by the study of the hypoxia problem in cancerous tissues, we propose a system of coupled partial differential equations defined on a heterogeneous, periodically perforated  domain describing the flux of oxygen from blood vessels towards the tissue and the corresponding oxygen diffusion within the tissue. Using heuristics based on dimensional analysis, we rephrase the initially parabolic problem as a semi-linear elliptic transmission problem. READ MORE

  4. 3. Simulation of Tribological Contacts in Hydraulic Machines

    University essay from Luleå tekniska universitet/Institutionen för teknikvetenskap och matematik

    Author : Fredrik Roselin; [2018]
    Keywords : Tribology; Friction; Wear; Lubrication; Mixed lubrication; Luleå Mixed Lubrication Model; LMLM; Tribologi; Friktion; Nötning; Smörjning; Blandad tunnfilmssmörjning;

    Abstract : Axial piston machines are operating at high pressure and varying speeds, which requires high reliability of the components. The machine components are separated by a fluid film, but sometimes this film gets penetrated by the surface asperities causing the machine to operate with metal-to-metal contact. READ MORE

  5. 4. Numerical investigation on the effects of out-of-flatness on leakage in metal-to-metal seals

    University essay from Luleå tekniska universitet/Institutionen för teknikvetenskap och matematik

    Author : Lumi Canhasi; [2017]
    Keywords : ;

    Abstract : Since the usage of pressurized systems, there has been a challenge to prevent and control leakage of different fluids. When a metal-to-metal face seal is designed, different aspects are to be considered. Its ring shaped sealing surface is designed to prevent leakage and also to maintain pressure. READ MORE

  6. 5. Combining Regional Time Stepping With Two-Scale PCISPH Method

    University essay from Blekinge Tekniska Högskola/Institutionen för datalogi och datorsystemteknik

    Author : Joel Begnert; Rasmus Tilljander; [2015]
    Keywords : smooth particle hydrodynamics; two-scale; regional time stepping; fluid simulation;

    Abstract : Context. In computer graphics, realistic looking fluid is often desired. Simulating realistic fluids is a time consuming and computationally expensive task, therefore, much research has been devoted to reducing the simulation time while maintaining the realism. READ MORE