A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes
From MaRDI portal
Publication:278776
DOI10.1016/j.apnum.2016.02.001zbMath1381.76219OpenAlexW2259359025MaRDI QIDQ278776
Uwe Iben, Julia Leibinger, Isabell Wayand, Michael Dumbser
Publication date: 2 May 2016
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2016.02.001
compressible flows in compliant tubesflexible ducts with variable cross sectionfluid-structure interaction (FSI)non-conservative hyperbolic systemsvisco-elastic wall behaviorwell-balanced path-conservative finite volume schemes
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Compressible fluids and gas dynamics (76Nxx)
Related Items (8)
A finite-volume approach for compressible single- and two-phase flows in flexible pipelines with fluid-structure interaction ⋮ Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes ⋮ Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid-structure interaction system ⋮ A new two-dimensional blood flow model with arbitrary cross sections ⋮ A comparison of explicit and semi‐implicit finite volume schemes for viscous compressible flows in elastic pipes in fast transient regime ⋮ A finite-volume method for compressible non-equilibrium two-phase flows in networks of elastic pipelines using the Baer-Nunziato model ⋮ Numerical schemes for quasi-1D steady nozzle flows ⋮ Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows
Cites Work
- Unnamed Item
- Unsteady compressible flow in ducts with varying cross-section: comparison between the nonconservative Euler system and the axisymmetric flow model
- Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties
- Iterative solutions of mildly nonlinear systems
- An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
- FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems
- Approximate Osher-Solomon schemes for hyperbolic systems
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows
- A weak formulation of Roe's approximate Riemann solver
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Upwind methods for hyperbolic conservation laws with source terms
- A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
- On numerical treatment of the source terms in the shallow water equations
- Definition and weak stability of nonconservative products
- Efficient implementation of high order unstructured WENO schemes for cavitating flows
- A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow
- A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems
- A Nested Newton-Type Algorithm for Finite Volume Methods Solving Richards' Equation in Mixed Form
- Iterative Solution of Piecewise Linear Systems and Applications to Flows in Porous Media
- On some fast well-balanced first order solvers for nonconservative systems
- Godunov method for nonconservative hyperbolic systems
- Iterative Solution of Piecewise Linear Systems
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- Polynomial upwind schemes for hyperbolic systems
- Finite Volume Methods for Hyperbolic Problems
- On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
- EXACT RIEMANN SOLUTIONS TO COMPRESSIBLE EULER EQUATIONS IN DUCTS WITH DISCONTINUOUS CROSS-SECTION
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
This page was built for publication: A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes
