Two Decades of Wave-Like Equation for the Numerical Simulation of Incompressible Viscous Flow: A Review
DOI10.1007/978-3-319-78325-3_13zbMath1416.35005OpenAlexW2883150297MaRDI QIDQ5223290
Roland Glowinski, Tsorng-Whay Pan
Publication date: 17 July 2019
Published in: Computational Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-78325-3_13
finite element approximationsincompressible viscous flowoperator splitting time discretization schemeswave-like equation method for the numerical treatment of the advection step
PDEs in connection with fluid mechanics (35Q35) History of mathematics in the 20th century (01A60) Navier-Stokes equations (35Q30) History of mathematics in the 21st century (01A61) Finite element methods applied to problems in fluid mechanics (76M10) History of fluid mechanics (76-03) History of partial differential equations (35-03)
Related Items (2)
Cites Work
- A fictitious domain/distributed Lagrange multiplier method for the particulate flow of Oldroyd-B fluids: a positive definiteness preserving approach
- A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line
- On the numerical simulation of Bingham viscoplastic flow: old and new results
- Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation
- On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations
- Creeping flow of dilute polymer solutions past cylinders and spheres
- A wave equation model for finite element tidal computations
- Fluid dynamics of viscoelastic liquids
- An energy estimate for the Oldroyd B model: theory and applications.
- A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows
- Characterization of oscillatory instability in lid driven cavity flows using lattice Boltzmann method
- Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics
- Mixed finite element methods for viscoelastic flow analysis: A review
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points
- New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models
- Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
- Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
- A numerical method for solving incompressible viscous flow problems
- Constitutive laws for the matrix-logarithm of the conformation tensor
- Splitting Methods in Communication, Imaging, Science, and Engineering
- Positive Definiteness Preserving Approaches for Viscoelastic Flow of Oldroyd-B Fluids
- On the Numerical Simulation of Viscoplastic Fluid Flow
- Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems
- On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid
- Direct simulation of the sedimentation of elliptic particles in Oldroyd-B fluids
- Effect of Reynolds number on the eddy structure in a lid-driven cavity
- Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete-Time A Priori Error Estimates
- Wave equation model for solving advection–diffusion equation
- A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow
- Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates
- Behaviour of macroscopic rigid spheres in Poiseuille flow Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams
- A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Two Decades of Wave-Like Equation for the Numerical Simulation of Incompressible Viscous Flow: A Review