Observatorio de I+D+i UPM

Memorias de investigación
Communications at congresses:
An implicit SPH solution of the Burgers equation
Year:2013
Research Areas
  • Phisics,
  • Mechanical engineering
Information
Abstract
The motivation behind the study of this problem is to go deeper in the understanding of the consistency of SPH methods when applied to problems with increasing levels of difficulty. When particles were uniformly placed in the computational domain, the consistency of boundary condition enforcement of Dirichlet and Neumann boundary conditions in 1D and 2D Poisson problems was studied. In the present study, particles move according to the inherent Lagrangian formulation typically found in SPH and consequently, the Laplacian operator and the Poisson solver should be able to obtain a consistent solution for such non-uniform distributions. Previous results where non-Lagrangian SPH formulations are applied to 1D and 2D Burgers? problem. In those cases, SPH is used to transform the differential operators whilst particles are kept fixed in their initial positions. In our case, the complete Lagrangian SPH perspective of the Burgers? problem adds some difficulties to the implementation. The procedure is based on a fully implicit time integration scheme solving a Poisson problem for each time step.
International
Si
Congress
8th ERCOFTAC SPHERIC workshop on SPH applications
960
Place
Reviewers
Si
ISBN/ISSN
978-88-7617-019-5
Start Date
04/06/2013
End Date
06/06/2013
From page
1
To page
6
Proceedings of 8th ERCOFTAC SPHERIC workshop on SPH applications
Participants
  • Autor: Leo Miguel Gonzalez Gutierrez (UPM)
  • Autor: Jose Luis Cercos Pita (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: CEHINAV (Canal de Ensayos Hidrodinámicos de la E.T.S.I. Navales)
  • Departamento: Ciencias Aplicadas a la Ingeniería Naval
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