Computational phase-field modeling
H Gomez, KG van der Zee - 2017 - nottingham-repository.worktribe.com
Phase-field modeling is emerging as a promising tool for the treatment of problems with
interfaces. The classical description of interface problems requires the numerical solution of …
interfaces. The classical description of interface problems requires the numerical solution of …
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format
We apply the tensor train (TT) decomposition to construct the tensor product polynomial
chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with …
chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with …
Direct van der Waals simulation (DVS) of phase-transforming fluids
We present the method of direct van der Waals simulation (DVS) to study computationally
flows with liquid-vapor phase transformations. Our approach is based on a discretization of …
flows with liquid-vapor phase transformations. Our approach is based on a discretization of …
Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics
We consider a Euler system with dynamics generated by a potential energy functional. We
propose a form for the relative energy that exploits the variational structure and we derive a …
propose a form for the relative energy that exploits the variational structure and we derive a …
Numerical solution of Navier–Stokes–Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions
Compressible liquid–vapor flow with phase transitions can be described by systems of
Navier–Stokes–Korteweg type. They extend the Navier–Stokes equations by nonlinear …
Navier–Stokes–Korteweg type. They extend the Navier–Stokes equations by nonlinear …
Liquid-vapor transformations with surfactants. Phase-field model and Isogeometric Analysis
Surfactants are compounds that find energetically favorable to be located at the boundaries
between fluids. They are able to modify the properties of those interfaces, for example …
between fluids. They are able to modify the properties of those interfaces, for example …
A parabolic relaxation model for the Navier-Stokes-Korteweg equations
Abstract The isothermal Navier-Stokes-Korteweg system is a classical diffuse interface
model for compressible two-phase flow which grounds in Van Der Waals' theory of …
model for compressible two-phase flow which grounds in Van Der Waals' theory of …
Relaxation of the Navier–Stokes–Korteweg equations for compressible two‐phase flow with phase transition
J Neusser, C Rohde, V Schleper - International Journal for …, 2015 - Wiley Online Library
Summary The Navier–Stokes–Korteweg (NSK) system is a classical diffuse‐interface model
for compressible two‐phase flow. However, the direct numerical simulation based on the …
for compressible two‐phase flow. However, the direct numerical simulation based on the …
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model
J Giesselmann, T Pryer - ESAIM: Mathematical Modelling and …, 2015 - numdam.org
We design consistent discontinuous Galerkin finite element schemes for the approximation
of a quasi-incompressible two phase flow model of Allen–Cahn/Cahn–Hilliard/Navier …
of a quasi-incompressible two phase flow model of Allen–Cahn/Cahn–Hilliard/Navier …
An h-adaptive local discontinuous Galerkin method for the Navier–Stokes–Korteweg equations
In this article, we develop a mesh adaptation algorithm for a local discontinuous Galerkin
(LDG) discretization of the (non)-isothermal Navier–Stokes–Korteweg (NSK) equations …
(LDG) discretization of the (non)-isothermal Navier–Stokes–Korteweg (NSK) equations …