Search results for "Coupled problem"

showing 4 items of 4 documents

An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes

2013

This study considers developing numerical solution techniques for the computer simulations of time-harmonic fluid-structure interaction between acoustic and elastic waves. The focus is on the efficiency of an iterative solution method based on a controllability approach and spectral elements. We concentrate on the model, in which the acoustic waves in the fluid domain are modeled by using the velocity potential and the elastic waves in the structure domain are modeled by using displacement.Traditionally, the complex-valued time-harmonic equations are used for solving the time-harmonic problems. Instead of that, we focus on finding periodic solutions without solving the time-harmonic problem…

fourth-order Runge–Kuttata113Numerical AnalysisOptimization problemfluid–structure interactionta114Physics and Astronomy (miscellaneous)DiscretizationApplied Mathematicsta111Mathematical analysisSpectral element methodspectral element methodAcoustic wavecoupled problemcontrollabilityComputer Science ApplicationsControllabilityComputational MathematicsMultigrid methodRate of convergenceModeling and SimulationConjugate gradient methodMathematicsJournal of Computational Physics
researchProduct

Numerical simulation of fluid-structure interaction between acoustic and elastic waves

2011

sovelluksetneste-rakenne-mallitfluid-structure interactionexact controllabilityspectral element methodcoupled problematk-ohjelmatacoustictietokonesimulaatiotelasticnumerical simulationtutkimusmenetelmätelastiset aallotwave equationsimulointiakustiset aallotspektrianalyysi
researchProduct

Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements

2010

The classical way of solving the time-harmonic linear acousto-elastic wave problem is to discretize the equations with finite elements or finite differences. This approach leads to large-scale indefinite complex-valued linear systems. For these kinds of systems, it is difficult to construct efficient iterative solution methods. That is why we use an alternative approach and solve the time-harmonic problem by controlling the solution of the corresponding time dependent wave equation. In this paper, we use an unsymmetric formulation, where fluid-structure interaction is modeled as a coupling between pressure and displacement. The coupled problem is discretized in space domain with spectral el…

ControllabilityDiscretizationSpectral element methodfluid-structure interactionspectral element methodacoustic wavescoupled problemTime-harmonic solutioncontrollabilityConjugate gradient methodFluid-structure interactionTime domainCoupled problemMathematicsElastic wavesSpectral element methodelastic wavestime-harmonic solutionApplied MathematicsMathematical analysisLinear systemFinite differenceFinite element methodControllabilityComputational MathematicsAcoustic wavesConjugate gradient algorithmconjugate gradient algorithmJournal of Computational and Applied Mathematics
researchProduct

Prospectives to tractor cabin design with computational acoustics tools

2011

Computational acoustical models allow automated optimization of tractor design with respect to acoustic properties, which could speed up significantly the design process of tractor cabin prototypes. This article gives insightful prospectives to the tractor design process by considering modern computational acoustics technology. Mathematical formulation for a system consisting of vibrating elastic tractor structure and airfilled acoustic enclosure are given and a related numerical solution technique with finite element method (FEM) is presented. Simulation results produced with commercially available software are reviewed. nonPeerReviewed

elementtimenetelmäNavierin yhtälölaskennallinen akustiikkanumerical simulationkytketty tehtäväcomputational acousticsHelmholtz equationnumeerinen simulointicoupled problemäärellisten elementtien menetelmäNavier equationHelmholtzin yhtälö
researchProduct