On the convergence rates for the three‐dimensional filtered Boussinesq equations
DOI10.1002/mana.201900157OpenAlexW3145756995MaRDI QIDQ6081907
Publication date: 5 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201900157
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Direct numerical and large eddy simulation of turbulence (76F65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Rate of convergence, degree of approximation (41A25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Global well-posedness of the 2D Boussinesq equations with vertical dissipation
- Convergence of approximate deconvolution models to the mean Navier-Stokes equations
- Modeling error in approximate deconvolution models
- Remarks on global attractors for the 3D Navier-Stokes equations with horizontal filtering
- On the well-posedness and conservation laws of a family of multiscale deconvolution models for the magnetohydrodynamics equations
- Global attractor for the Navier-Stokes equations with fractional deconvolution
- On the Boussinesq equations with anisotropic filter in a vertical pipe
- Large eddy simulation for turbulent magnetohydrodynamic flows
- Analysis of a large eddy simulation model based on anisotropic filtering
- On the structural stability of the Euler-Voigt and Navier-Stokes-Voigt models
- On the Boussinesq system: regularity criteria and singular limits
- Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
- Direct numerical simulations of the Navier-Stokes alpha model
- Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
- A simple and stable scale-similarity model for large eddy simulation: Energy balance and existence of weak solutions
- On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models
- On the well-posedness of the Boussinesq equations with anisotropic filter for turbulent flows
- Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region
- On a well-posed turbulence model
- Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
- Asymptotic expansions and extremals for the critical Sobolev and Gagliardo–Nirenberg inequalities on a torus
- Approximate Deconvolution Models for Magnetohydrodynamics
- Global Well-Posedness and Convergence Results for the 3D-Regularized Boussinesq System
- Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
- Mathematics of Large Eddy Simulation of Turbulent Flows
- Differential filters for the large eddy numerical simulation of turbulent flows
- On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations
- APPROXIMATION OF THE LARGER EDDIES IN FLUID MOTIONS II: A MODEL FOR SPACE-FILTERED FLOW
- On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations
- On a Leray–α model of turbulence
- On the Stolz--Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows
- A modified-Leray-α subgrid scale model of turbulence
- The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory