# Constraint-consistent Runge-Kutta methods for one-dimensional incompressible multiphase flow

@article{Sanderse2019ConstraintconsistentRM, title={Constraint-consistent Runge-Kutta methods for one-dimensional incompressible multiphase flow}, author={Benjamin Sanderse and Arthur E. P. Veldman}, journal={J. Comput. Phys.}, year={2019}, volume={384}, pages={170-199} }

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## References

SHOWING 1-10 OF 61 REFERENCES

Accuracy analysis of explicit Runge-Kutta methods applied to the incompressible Navier-Stokes equations

- MathematicsJ. Comput. Phys.
- 2012

Mixture-Slip Flux Splitting for Numerical Computation of 1-DTwo-Phase Flow

- Physics
- 2010

In this thesis we are dealing with the numerical computation of the one dimensionaltwo-fluid model. The main objective has been to develop a robust numericalmethod for incompressible flow which can…

Numerical solution of one-dimensional transient, two-phase flows with temporal fully implicit high order schemes: Subcooled boiling in pipes

- Engineering, Physics
- 2017

Numerical simulation of roll waves in pipelines using the two-fluid model

- Physics
- 2018

textabstractA finite volume discretization of the incompressible two-fluid model in four-equation form is proposed for simulating roll waves appearing in multiphase pipelines. The new formulation has…

Boundary treatment for fourth-order staggered mesh discretizations of the incompressible Navier-Stokes equations

- PhysicsJ. Comput. Phys.
- 2014

Analysis of time integration methods for the compressible two-fluid model for pipe flow simulations

- Mathematics
- 2017

Efficient Numerical Methods for Waves in One-Dimensional Two-Phase Pipe Flows

- Physics
- 2016

This thesis is aimed at improving simulation efficiency for stratified-wavy gasliquid flows. Towards this goad, the simpler nature of incompressible two-phase flows is utilized for predicting…

CFL-Violating Numerical Schemes for a Two-Fluid Model

- Computer ScienceJ. Sci. Comput.
- 2006

A class of linearly implicit numerical schemes for a two-phase flow model, allowing for violation of the CFL-criterion for all waves, is proposed, and it is demonstrated that the WIMF scheme is able to give an exact resolution of a moving contact discontinuity.