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A projection method for the computation of admissible measure valued solutions of the incompressible Euler equations
- Source :
- Discrete and Continuous Dynamical Systems. Series S, 11 (5)
- Publication Year :
- 2018
- Publisher :
- American Institute of Mathematical Sciences, 2018.
-
Abstract
- We formulate a fully discrete finite difference numerical method to approximate the incompressible Euler equations and prove that the sequence generated by the scheme converges to an admissible measure valued solution. The scheme combines an energy conservative flux with a velocity-projection temporal splitting in order to efficiently decouple the advection from the pressure gradient. With the use of robust Monte Carlo approximations, statistical quantities of the approximate solution can be computed. We present numerical results that agree with the theoretical findings obtained for the scheme.
- Subjects :
- Sequence
Applied Mathematics
Computation
Numerical analysis
010102 general mathematics
Monte Carlo method
Finite difference
01 natural sciences
Measure (mathematics)
010101 applied mathematics
Numerical methods
measure valued solutions
incompressible inviscid fluids
Projection method
Discrete Mathematics and Combinatorics
Applied mathematics
0101 mathematics
Analysis
Pressure gradient
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Discrete and Continuous Dynamical Systems. Series S, 11 (5)
- Accession number :
- edsair.doi.dedup.....b12de1a926977fa865b0e55111eb1c59