On dependence of dynamical structure of numerical solutions of fluid simulations on forcibly added randomness
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Publication:837096
DOI10.1016/J.CAM.2008.10.042zbMath1381.76261OpenAlexW2047675937MaRDI QIDQ837096
Publication date: 10 September 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.10.042
stabilityincompressible Navier-Stokes equationsnumerical simulationasymptotic behavior of solutionsrandomnessnumerical error
Cites Work
- Chaos in numerical analysis of ordinary differential equations
- Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I: The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics
- On analogy and dissimilarity of dependence of stability on several parameters in flow simulations.
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Nonlinear Instability in Dissipative Finite Difference Schemes
- On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
- Spurious solutions of numerical methods for initial value problems
- Mathematical and Numerical Analyses of Dynamical Structure of Numerical Solutions of Two-Dimensional Fluid Equations
- On the Structure of Numerical Solutions of Flow Simulation by Implicit Scheme
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