Efficient solvers for incompressible flow problems. An algorithmic and computational approach
From MaRDI portal
Publication:1290743
zbMath0930.76002MaRDI QIDQ1290743
Publication date: 15 June 1999
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
boundary conditionschannel flowdiscretization techniquesNavier-Stokes solversnonlinear iterative methodstime steppingfinite element spaceslinear multigrid methodsbenchmark configurationFEATFLOW 1.1 packageflow through Venturi pipeflows around a cylindermultilevel pressure Schur complementssolution of discrete systemsvirtual album of fluid motion
Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items
On the domain geometry dependence of the LBB condition, On the accuracy of the viscous form in simulations of incompressible flow problems, Preconditioning discretizations of systems of partial differential equations, Re-examining the QUICKEST algorithm for two-dimensional incompressible fluids, Analysis of preconditioned iterative solvers for incompressible flow problems, Adaptive Finite Element Approximation of Fluid-Structure Interaction Based on an Eulerian Variational Formulation, A Monolithic FEM/Multigrid Solver for an ALE Formulation of Fluid-Structure Interaction with Applications in Biomechanics, Finite element decomposition and minimal extension for flow equations, Finite element-fictitious boundary methods (FEM-FBM) for 3D particulate flow, A discrete projection method for incompressible viscous flow with Coriolis force, Locally conservative, stabilized finite element methods for variably saturated flow, Improving mass conservation in simulation of incompressible flows, Convergence of nonconforming $V$-cycle and $F$-cycle multigrid algorithms for second order elliptic boundary value problems, Termination criteria for inexact fixed‐point schemes, Stabilised finite-element methods for solving the level set equation with mass conservation, Unnamed Item, ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier--Stokes Equations, Quantitative benchmark computations of two-dimensional bubble dynamics, An alternative method for SPP with full rank (2,1)-block matrix and nonzero right-hand side vector, Improved Accuracy in Algebraic Splitting Methods for Navier--Stokes Equations, P1$$ {P}_1 $$‐nonconforming quadrilateral finite element space with periodic boundary conditions: Part II. Application to the nonconforming heterogeneous multiscale method, The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications, On the design of global-in-time Newton-multigrid-pressure Schur complement solvers for incompressible flow problems, Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems, Curvature computation in volume-of-fluid method based on point-cloud sampling, A Space-Time Multigrid Method for Optimal Flow Control, Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022, Migration of a generic multi-physics framework to HPC environments, Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses, Efficient Newton-multigrid solution techniques for higher order space-time Galerkin discretizations of incompressible flow, Continuous, Semi-discrete, and Fully Discretised Navier-Stokes Equations, On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes, From creeping to inertial flow in porous media: a lattice Boltzmann–finite element study, Spurious currents in finite element based level set methods for two‐phase flow, ALE-FEM for Two-Phase and Free Surface Flows with Surfactants, Adaptive embedded/immersed unstructured grid techniques, Basic Machine Learning Approaches for the Acceleration of PDE Simulations and Realization in the FEAT3 Software, An Element-Based Preconditioner for Mixed Finite Element Problems, An L2-stable approximation of the Navier-Stokes convection operator for low-order non-conforming finite elements, Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations, Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow, Application of finite element method in aeroelasticity, Efficient preconditioning techniques for finite-element quadratic discretization arising from linearized incompressible Navier-Stokes equations, Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow., A Numerical Study of a Class of LES Models, A Primal-Dual Active Set Method for Bilaterally Control Constrained Optimal Control of the Navier–Stokes Equations, On pressure separation algorithms (PSepA) for improving the accuracy of incompressible flow simulations, Large scale problems arising from image registration, Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations, The FEAST indices -- realistic evaluation of modern software components and processor technologies, A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations, Flow Control on the Basis of a Featflow-Matlab Coupling, An extended finite element method applied to levitated droplet problems, A finite element penalty-projection method for incompressible flows, Uniform preconditioners for the time dependent Stokes problem, A Newton--Galerkin Method for Fluid Flow Exhibiting Uncertain Periodic Dynamics, Analysis of some projection method based preconditioners for models of incompressible flow, Finite element simulation of three-dimensional particulate flows using mixture models, A hybrid level set/front tracking approach for finite element simulations of two-phase flows, Numerical Study of a High Order 3D FEM-Level Set Approach for Immiscible Flow Simulation, An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number, Multigrid analysis for the time dependent Stokes problem, Inverse Problems and Parameter Identification in Image Processing, A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations, High-resolution FEM--FCT schemes for multidimensional conservation laws, NUMERICAL SOLUTION OF THE TIME-DEPENDENT NAVIER–STOKES EQUATION FOR VARIABLE DENSITY–VARIABLE VISCOSITY. PART I, Three‐dimensional quadratic nonconforming brick element, A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier-Stokes problem, A monolithic ALE Newton-Krylov solver with multigrid-Richardson-Schwarz preconditioning for incompressible fluid-structure interaction, High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter, On a local Fourier analysis for overlapping block smoothers on triangular grids, Robust stabilised finite element solvers for generalised Newtonian fluid flows, Mixed finite element approximation of incompressible MHD problems based on weighted regularization, Gas-liquid two-phase flows simulation based on weakly compressible scheme with interface-adapted AMR method, Numerical simulations of incompressible aerodynamic flows using viscous/inviscid interaction procedures, Simulations of impinging droplets with surfactant-dependent dynamic contact angle, A fast lattice Green's function method for solving viscous incompressible flows on unbounded domains, A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations, A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations. II: Coupling, Algorithms for strong coupling procedures, A finite element based level set method for two-phase incompressible flows, A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids, Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations, A comparison between the surface compression method and an interface reconstruction method for the VOF approach, On efficient high-order semi-implicit time-stepping schemes for unsteady incompressible Navier-Stokes equations, Comparison of computations of asymptotic flow models in a constricted channel, A hybrid level set-front tracking finite element approach for fluid-structure interaction and two-phase flow applications, Newton multigrid least-squares FEM for the V-V-P formulation of the Navier-Stokes equations, Time integration for diffuse interface models for two-phase flow, Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows, Extension of fractional step techniques for incompressible flows: the preconditioned Orthomin(1) for the pressure Schur complement, Numerical simulation of interaction between turbulent flow and a vibrating airfoil, Transient large strain contact modelling: a comparison of contact techniques for simultaneous fluid-structure interaction, A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems, Computational modelling of slug flow in a capillary microreactor, An efficient multigrid-FEM method for the simulation of solid-liquid two-phase flows, Saddle point preconditioners for linearized Navier-Stokes equations discretized by a finite volume method, Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems, The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations, A uniformly stable Fortin operator for the Taylor-Hood element, On the error bounds of nonconforming finite elements, Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants, Mixed element FEM level set method for numerical simulation of immiscible fluids, An a posteriori error estimator for a LPS method for Navier-Stokes equations, On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations, A phase-field method applied to interface tracking for blood clot formation., Numerical study of a modified time-stepping \(\theta\)-scheme for incompressible flow simulations, Multi space reduced basis preconditioners for parametrized Stokes equations, Subdivision-stabilised immersed b-spline finite elements for moving boundary flows, A fast numerical approach for the simulation of highly viscous non-isothermal non-Newtonian fluids, Subdomain deflation combined with local AMG: a case study using AMGCL library, Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term, A remark on supercloseness and extrapolation of the quadrilateral Han element for the Stokes equations, Linear stability analysis in fluid-structure interaction with transpiration. II: Numerical analysis and applications., A robust and efficient iterative method for hyper-elastodynamics with nested block preconditioning, Adaptive time step control for the incompressible Navier-Stokes equations, Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models, An hybrid finite volume-finite element method for variable density incompressible flows, Adaptive time-step control for nonlinear fluid-structure interaction, Fully Eulerian fluid-structure interaction for time-dependent problems, Deconvolution-based stabilization of the incompressible Navier-Stokes equations, An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems., A three-phase VOF solver for the simulation of in-nozzle cavitation effects on liquid atomization, An adaptive residual local projection finite element method for the Navier-Stokes equations, Isogeometric analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements, Numerical simulation and benchmarking of drops and bubbles, Algebraic pressure segregation methods for the incompressible Navier-Stokes equations, An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions, Pressure corrected implicit \(\theta \)-schemes for the incompressible Navier-Stokes equations, Multigrid methods on semi-structured grids, Modeling concept and numerical simulation of ultrasonic wave propagation in a moving fluid-structure domain based on a monolithic approach, A CutFEM method for two-phase flow problems, Preconditioning immersed isogeometric finite element methods with application to flow problems, Shear rate projection schemes for non-Newtonian fluids, Refined saddle-point preconditioners for discretized Stokes problems, Validation of volume-of-fluid OpenFOAM{\circledR} isoAdvector solvers using single bubble benchmarks, Implementation of a probabilistic surface density volume of fluid approach for spray atomisation, On stability of the \(P_n^{\text{mod}}/P_n\) element for incompressible flow problems., Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation, An assessment of two models for the subgrid scale tensor in the rational LES model, A fast preconditioner for the incompressible Navier-Stokes equations, An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation, Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods, Stabilized finite element schemes with LBB-stable elements for incompressible flows, Pressure separation -- a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations, Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping, A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations, Numerical study of the heater length effect on the heating of a solid circular obstruction centered in an open cavity, Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations, Adaptive embedded and immersed unstructured grid techniques, A coupled arbitrary Lagrangian-Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants, Fractional step like schemes for free surface problems with thermal coupling using the Lagrangian PFEM, Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape, A splitting technique of higher order for the Navier-Stokes equations, Eigenvalue bounds for the Schur complement with a pressure convection-diffusion preconditioner in incompressible flow computations, Algebraic splitting methods for the steady incompressible Navier-Stokes equations at moderate Reynolds numbers, A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes, Iterated pressure-correction projection methods for the unsteady incompressible Navier-Stokes equations, New robust nonconforming finite elements of higher order, Two-sided a posteriori estimates for a generalized Stokes problem, Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows, Optimization of multimaterial dies via numerical simulations, Fast simulation of 3D electromagnetic problems using potentials., Preconditioners for saddle point problems arising in computational fluid dynamics, Flux correction tools for finite elements, Poroelasticity problem: numerical difficulties and efficient multigrid solution, A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
Uses Software
