Second-order particle-in-cell (PIC) computational method in the one-dimensional variable Eulerian mesh system
As part of an effort to incorporate the variable Eulerian mesh into the second-order PIC computational method, a truncation error analysis was performed to calculate the second-order error terms for the variable Eulerian mesh system. The results that the maximum mesh size increment/decrement is limited to be ..cap alpha..(..delta..r/sub i/)/sup 2/ where ..delta..r/sub i/ is a non-dimensional mesh size of the ith cell, and ..cap alpha.. is a constant of order one. The numerical solutions of Burgers' equation by the second-order PIC method in the variable Eulerian mesh system wer compared with its exact solution. It was found that the second-order accuracy in the PIC method was maintained under the above condition. Additional problems were analyzed using the second-order PIC methods in both variable and uniform Eulerian mesh systems. The results indicate that the second-order PIC method in the variable Eulerian mesh system can provide substantial computational time saving with no loss in accuracy.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6358215
- Report Number(s):
- LA-UR-81-318; CONF-810702-4; TRN: 81-011742
- Resource Relation:
- Conference: International conference on numerical methods for laminar and turbulent flow, Venice, Italy, 13 Jul 1981
- Country of Publication:
- United States
- Language:
- English
Similar Records
Parallel heterogeneous mesh refinement for multidimensional convection-diffusion equations using an Euler-Lagrange method
Computation of multi-material interactions using point method