Isogeometric Compatible Discretizations for Viscous Incompressible Flow
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Publication:2963038
DOI10.1007/978-3-319-42309-8_4zbMath1381.76166OpenAlexW2528118097MaRDI QIDQ2963038
John A. Evans, Thomas J. R. Hughes
Publication date: 17 February 2017
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-42309-8_4
Numerical computation using splines (65D07) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
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- Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
- Isogeometric analysis in electromagnetics: B-splines approximation
- Enforcement of constraints and maximum principles in the variational multiscale method
- On the rotation and skew-symmetric forms for incompressible flow simulations
- On the regularity of the solutions to the 3D Navier-Stokes equations: a remark on the role of the helicity
- Starting solutions for the oscillating motion of a Maxwell fluid in cylindrical domains
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems
- Mixed finite elements in \(\mathbb{R}^3\)
- Discrete spectrum analyses for various mixed discretizations of the Stokes eigenproblem
- Lagrangian description, symplectic structure, and invariants of 3D fluid flow.
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Isogeometric Discrete Differential Forms in Three Dimensions
- Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- Study of High–Reynolds Number Isotropic Turbulence by Direct Numerical Simulation
- Small-scale structure of the Taylor–Green vortex
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Influence of helicity on the evolution of isotropic turbulence at high Reynolds number
- Evidence for a singularity of the three-dimensional, incompressible Euler equations
- Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
- On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
- Isogeometric Analysis
- Geometric Properties and Nonblowup of 3D Incompressible Euler Flow
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Energy dissipation in body-forced turbulence
- Applied Analysis of the Navier-Stokes Equations
- Geometric constraints on potentially
- ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS
- ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS
- Helical turbulence and absolute equilibrium
- Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation
- Numerical study on the Eulerian–Lagrangian analysis of Navier–Stokes turbulence
- The dissipation rate coefficient of turbulence is not universal and depends on the internal stagnation point structure
- The degree of knottedness of tangled vortex lines
- The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R 3
- QuadrilateralH(div) Finite Elements
- The multifractal nature of turbulent energy dissipation
- A note on the de Rham complex and a discrete compactness property
- Limiting case of the Sobolev inequality in BMO, with application to the Euler equations