A finite volume method on NURBS geometries and its application in isogeometric fluid-structure interaction

DOI10.1016/j.matcom.2012.03.008zbMath1255.65164OpenAlexW1977607133MaRDI QIDQ1761628

St. Boschert, Christoph Heinrich, Bernd Simeon

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.03.008

zbMATH Keywords

algorithmNavier-Stokes equationsfinite volume methodmesh generationfluid-structure interactionincompressible Navier-Stokes equationexact geometrynon-uniform rational B-splinesmatching interface

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

An explicit MPS/FEM coupling algorithm for three-dimensional fluid-structure interaction analysis ⋮ Nonlinear frequency response analysis of structural vibrations ⋮ On the application of isogeometric finite volume method in numerical analysis of wet-steam flow through turbine cascades ⋮ A coupled 3D isogeometric/least-square MPS approach for modeling fluid-structure interactions ⋮ Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices ⋮ Dynamic responses of Euler-Bernoulli beam subjected to moving vehicles using isogeometric approach ⋮ Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams

Uses Software

• ISOGAT
• COMSOL

Cites Work

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• Swept Volume Parameterization for Isogeometric Analysis
• Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
• Isogeometric Analysis
• Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier–Stokes Equations on General 2D or 3D Meshes

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