Los Alamos National LaboratoryIS&T Co-Design Summer School
Train future scientists to work across disciplines to solve today's challenges

Modeling & Simulation

The research areas span a wide array of topics in computer science and applied mathematics with applications to scientific problems.

Key Personnel  

  • School & Application Science Lead
  • Ben Bergen
  • (505) 667-1699
  • Email
  • Computer Science Lead
  • Allen McPherson
  • (505) 665-6548
  • Email
  • Christoph Junghans
  • (505) 665-2278
  • Email
  • Sponsor IS&T Center
  • Frank Alexander
  • (505) 665-4518
  • Email

We are developing code for hydrodynamics simulations with shock discontinuities. The physical model for this problem is expressed by the Euler equations. To discretize the problem, we use the finite volume method (FVM). If time permits, heat conduction will also be incorporated into the simulation.

Finite Volume Method

For the problems to be simulated, the initial conditions either contain shocks or due to the nonlinear nature of the physical problems that are being simulated, discontinuities can easily develop, regardless of if the initial data is smooth. Because of this finite differences will fail near the discontinuity where the classical form of the differential equation does not hold. For this reason, the finite volume method is used which is based on the integral form of the differential equation, which holds even in the presence of discontinuities. The finite volume method decomposes the domain into grid cells and maintains cell averages, which are updated by the fluxes across the interfaces between cells. Specifically, this project implements the MUSCL-Hancock method with the HLL approximate Riemann solver. Dimensional splitting is used to handle multidimensional simulations.

Modeling & Simulation