Spurious transients of projection methods in microflow simulations

DOI10.1016/j.cma.2014.11.039zbMath1423.76103OpenAlexW2169050358MaRDI QIDQ1798590

Cassio M. Oishi, Fabricio S. Sousa, Gustavo C. Buscaglia

Publication date: 23 October 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.11.039

zbMATH Keywords

Navier-Stokes equationsprojection methodincompressible flowmicrofluidicsalgebraic splittingpressure segregation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items (3)

On meshfree GFDM solvers for the incompressible Navier-Stokes equations ⋮ A finite difference method with meshless interpolation for incompressible flows in non-graded tree-based grids ⋮ Development of general finite differences for complex geometries using a sharp interface formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Preconditioning strategies for models of incompressible flow
• An analysis of the fractional step method
• Analysis of an exact fractional step method
• An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
• Algebraic pressure segregation methods for the incompressible Navier-Stokes equations
• Exact factorization technique for numerical simulations of incompressible Navier-Stokes flows
• Application of a fractional-step method to incompressible Navier-Stokes equations
• High-order splitting methods for the incompressible Navier-Stokes equations
• Approximate factorization as a high order splitting for the implicit incompressible flow equations
• Analysis of the Yosida method for the incompressible Navier-Stokes equations
• A second-order projection method for the incompressible Navier-Stokes equations in arbitrary domains
• A new class of truly consistent splitting schemes for incompressible flows
• Factorization methods for the numerical approximation of Navier-Stokes equations
• Algebraic splitting for incompressible Navier-Stokes equations
• A second-order projection method for the incompressible Navier-Stokes equations
• A class of fully second order accurate projection methods for solving the incompressible Navier-Stokes equations
• On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems
• An overview of projection methods for incompressible flows
• Algebraic fractional-step schemes with spectral methods for the incompressible Navier--Stokes equations
• A numerical method for solving incompressible viscous flow problems
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
• Computational Methods for Fluid Dynamics
• A third-order velocity correction scheme obtained at the discrete level
• Dynamics of high-Deborah-number entry flows: a numerical study
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
• Pressure and time treatment for Chebyshev spectral solution of a Stokes problem
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• The Accuracy of the Fractional Step Method
• Analysis of the local truncation error in the pressure-free projection method for incompressible flows: a new accurate expression of the intermediate boundary conditions
• An analysis and comparison of the time accuracy of fractional-step methods for the Navier-Stokes equations on staggered grids
• A remark on the projection‐3 method
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• Pressure segregation methods based on a discrete pressure Poisson equation. An algebraic approach
• Numerical Solution of the Navier-Stokes Equations
• Comments on the fractional step method
• The axisymmetric contraction-expansion: The role of extensional rheology on vortex growth dynamics and the enhanced pressure drop
• Accurate projection methods for the incompressible Navier-Stokes equations
• Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier-Stokes equations

This page was built for publication: Spurious transients of projection methods in microflow simulations