Asymptotic adaptive methods for multi-scale problems in fluid mechanics

From MaRDI portal
Publication:5936125

DOI10.1023/A:1004844002437zbMath1015.76071MaRDI QIDQ5936125

No author found.

Publication date: 5 January 2003

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)




Related Items (77)

A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbersMathematical analysis of fluids in motion: from well-posedness to model reductionA staggered semi-implicit hybrid FV/FE projection method for weakly compressible flowsA structure-preserving staggered semi-implicit finite volume scheme for continuum mechanicsAn all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravityModelling nonlinear thermoacoustic instability in an electrically heated Rijke tubeA new stable splitting for singularly perturbed ODEsA sharp interface finite volume method for elliptic equations on Cartesian gridsA semi-implicit multiscale scheme for shallow water flows at low Froude numberA pressure-based diffuse interface method for low-Mach multiphase flows with mass transferSpectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian gridsSuitable weak solutions and low stratification singular limit for a fluid particle interaction modelA staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshesIncompressible limit for compressible fluids with stochastic forcingThe mathematical theory of low Mach number flowsCalculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equationsAdaptive discontinuous evolution Galerkin method for dry atmospheric flowHigh order semi-implicit weighted compact nonlinear scheme for the full compressible Euler system at all Mach numbersNew time-marching methods for compressible Navier-Stokes equations with applications to aeroacoustics problemsAn asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equationsA pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbersAn all Mach number relaxation upwind schemeRigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected termAsymptotics, structure, and integration of sound-proof atmospheric flow equationsA well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equationsIncompressible limits and propagation of acoustic waves in large domains with boundariesOn the weak solutions to the multicomponent reactive flows driven by non-conservative boundary conditionsThe Asymptotic Analysis of the Complete Fluid System on a Varying Domain: From the Compressible to the Incompressible FlowStudy of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number LimitOn the incompressible limit of a strongly stratified heat conducting fluidAn exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tensionZero Mach number limit of the compressible primitive equations: Ill-prepared initial dataON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMSOn the incompressible limits for the full magnetohydrodynamics flowsOn the relationship between the pressure and the projection function in the numerical computation of viscous incompressible flow.On weak-strong uniqueness property for full compressible magnetohydrodynamics flowsA Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom TopographyUnnamed ItemUnnamed ItemSmall Alfvén number limit of the plane magnetohydrodynamic flowsApproximate solutions to a model of two-component reactive flowLow Mach Number Limit for the Navier–Stokes System on Unbounded Domains Under Strong StratificationLayered incompressible fluid flow equations in the limit of low Mach number and strong stratificationLow Mach number preconditioning techniques for roe-type and HLLC-type methods for a two-phase compressible flow modelNon-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson systemFlux splitting for stiff equations: a notion on stabilityThe low Mach number limit for the full Navier-Stokes-Fourier systemA semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshesChemically reacting mixtures in terms of degenerated parabolic settingFundamental equations for primary fluid recovery from porous mediaFlow of heat conducting fluid in a time-dependent domainCompressible fluids driven by stochastic forcing: the relative energy inequality and applicationsSimulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit schemeAnalysis of an asymptotic preserving low Mach number accurate IMEX-RK scheme for the wave equation systemA Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis ForcesAn All Speed Second Order IMEX Relaxation Scheme for the Euler EquationsDissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniquenessOn the incompressible limit problems for multicomponent reactive flowsAsymptotic analysis of Rayleigh-Taylor flow for Newtonian miscible fluidsSmall Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundariesMathematical models of incompressible fluids as singular limits of complete fluid systemsA staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshesIterated upwind schemes for gas dynamicsEfficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problemsBalanced data assimilation for highly oscillatory mechanical systemsFLOWS OF VISCOUS COMPRESSIBLE FLUIDS UNDER STRONG STRATIFICATION: INCOMPRESSIBLE LIMITS FOR LONG-RANGE POTENTIAL FORCESAsymptotic preserving low Mach number accurate IMEX finite volume schemes for the isentropic Euler equationsOn compactness of the velocity field in the incompressible limit of the full Navier-Stokes-Fourier system on large domainsThe incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundariesA discontinuous Galerkin method for inviscid low Mach number flowsAsymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimensionLocal Decay of Acoustic Waves in the Low Mach Number Limits on General Unbounded Domains Under Slip Boundary ConditionsAn efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gasesStability of preconditioned finite volume schemes at low Mach numbersOn the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEsNumerical simulation of two-phase flows with heat and mass transferThe extension of incompressible flow solvers to the weakly compressible regime


Uses Software



This page was built for publication: Asymptotic adaptive methods for multi-scale problems in fluid mechanics