A numerical stabilization framework for viscoelastic fluid flow using the finite volume method on general unstructured meshes

  title={A numerical stabilization framework for viscoelastic fluid flow using the finite volume method on general unstructured meshes},
  author={Marc Niethammer and Holger Marschall and Christian Kunkelmann and Dieter Bothe},
  journal={International Journal for Numerical Methods in Fluids},
  pages={131 - 166}
A robust finite volume method for viscoelastic flow analysis on general unstructured meshes is developed. It is built upon a general‐purpose stabilization framework for high Weissenberg number flows. The numerical framework provides full combinatorial flexibility between different kinds of rheological models on the one hand, and effective stabilization methods on the other hand. A special emphasis is put on the velocity‐stress‐coupling on colocated computational grids. Using special face… 

Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law

Numerical Methods for Viscoelastic Fluid Flows

Complex fluids exist in nature and are continually engineered for specific applications involving the addition of macromolecules to a solvent, among other means. This imparts viscoelasticity to the

A Lattice Boltzmann Method and Asynchronous Model Coupling for Viscoelastic Fluids

The numerical algorithms of viscoelastic flows can appear a tremendous challenge as the Weissenberg number (Wi) enlarged sufficiently. In this study, we present a generalized technique of time-stably

A High-Order (EXtended) Discontinuous Galerkin Solver for the Simulation of Viscoelastic Droplet

A key achievement of this scientific work is the application of the LDG method, originally developed for a hyperbolic system of equations for a Newtonian fluid, on the viscoelastic system of equation which renders methods for preserving ellipticity unnecessary.

Validation of viscoelastic, non-isothermal fluid flow simulations

The non-isothermal behavior of an OldroydB fluid is modeled by temperature-dependent fluid properties via an Arrhenius approach and an internal energy balance that accounts for both energy and

On the molecular mechanism behind the bubble rise velocity jump discontinuity in viscoelastic liquids




A cell-centered equal-order formulation for multidimensional incompressible flows that is applied to benchmark problems using a variety of quadrilateral/hexahedral, triangular/tetrahedral, and hybrid meshes, and is shown to perform satisfactorily.

Stabilization of an open-source finite-volume solver for viscoelastic fluid flows

On the high weissenberg number problem

Numerical modelling of transient viscoelastic flows