Essays about: "Summation By Parts"

Showing result 16 - 20 of 27 essays containing the words Summation By Parts.

1. 16. Analysis of the energy exchange between atmosphere and ground using the compressible Navier-Stokes equations and the heat equation

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Fredrik Laurén; [2016]
   Keywords : ;

   Abstract : In this paper the interface between the one dimensional compressible Navier-Stokes equation and the heat equation is analysed. For the linearized and symmetrized model, the energy method is used to derive interface conditions that bounds the solution. READ MORE

3. 17. A High Order Finite Difference Method for Simulating Earthquake Sequences in a Poroelastic Medium

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Kim Torberntsson; Vidar Stiernström; [2016]
   Keywords : numerical analysis; numerical methods; numerical modeling; SBP-SAT; finite differences; high performance computing; geophysics; geomechanics; poroelasticity; fault mechanics; induced seismicity;

   Abstract : Induced seismicity (earthquakes caused by injection or extraction of fluids in Earth's subsurface) is a major, new hazard in the United States, the Netherlands, and other countries, with vast economic consequences if not properly managed. Addressing this problem requires development of predictive simulations of how fluid-saturated solids containing frictional faults respond to fluid injection/extraction. READ MORE

4. 18. Summation By Part Methods for Poisson's Equation with Discontinuous Variable Coefficients

   University essay from Uppsala universitet/Institutionen för informationsteknologi

   Author : Thomas Nystrand; [2014]
   Keywords : SBP; SAT; Summation By Parts; Poisson equation; Discontinuous coefficients; Numerical methods; oil reservoir; improved boundary; weak boundary;

   Abstract : Nowadays there is an ever increasing demand to obtain more accurate numericalsimulation results while at the same time using fewer computations. One area withsuch a demand is oil reservoir simulations, which builds upon Poisson's equation withvariable coefficients (PEWVC). READ MORE

5. 19. Numerical simulation of the Dynamic Beam Equation using the SBP-SAT method

   University essay from Uppsala universitet/Institutionen för informationsteknologi

   Author : Vidar Stiernström; [2014]
   Keywords : Dynamic beam equation; finite difference methods; stability; boundary treatment;

   Abstract : A stable boundary treatment of the dynamic beam equation (DBE) with two different sets of boundary conditions has been conducted using the summation-by-parts-simultaneous-approximation-term (SBP-SAT) method. As the DBE involves a fourth derivative in space the numerical boundary treatment is highly non-trivial. READ MORE

6. 20. Surface waves in elastic material

   University essay from Uppsala universitet/Institutionen för informationsteknologi

   Author : Chen Gong; [2014]
   Keywords : ;

   Abstract : A finite volume method based solver for Rayleigh waves in two dimensional elastic materials is constructed  by using the Conservation Laws Package (Clawpack). The Lax-Wendroff scheme is implemented and only first-order accuracy is achieved for the Rayleigh wave problems by the default elastic wave solver in Clawpack. READ MORE