scholarly journals A conservative cell-based unsplit Volume of Fluid advection scheme for three-dimensional atomization simulations

2021 ◽  
Vol 1 (1) ◽  
Author(s):  
Fabian Fröde ◽  
Temistocle Grenga ◽  
Vincent Le Chenadec ◽  
Mathis Bode ◽  
Heinz Pitsch
Keyword(s):  
Three Dimensional ◽  
Volume Of Fluid ◽  
Advection Scheme

High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers

2011 ◽  
Vol 3 (3) ◽  
pp. 370-388
Author(s):  
Valerio Grazioso ◽  
Carlo Scalo ◽  
Giuseppe de Felice ◽  
Carlo Meola
Keyword(s):  
Stokes Equations ◽  
Complex Geometry ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Computationally Efficient ◽  
Flamelet Model ◽  
Advection Scheme ◽  
Variable Ordering ◽  
Pressure Variable ◽  
High Level

AbstractIn this work we introduce PRIN-3D (PRoto-code for Internal flows modeled by Navier-Stokes equations in 3-Dimensions), a new high level algebraic language (Matlab®) based code, by discussing some fundamental aspects regarding its basic solving kernel and by describing the design of an innovative advection scheme. The main focus was on designing a memory and computationally efficient code that, due to the typical conciseness of the Matlab coding language, could allow for fast and effective implementation of new models or algorithms. Innovative numerical methods are discussed in the paper. The pressure equation is derived with a quasi-segregation technique leading to an iterative scheme obtained within the framework of a global preconditioning procedure. Different levels of parallelization are obtainable by exploiting special pressure variable ordering patterns that lead to a block-structured Poisson-like matrix. Moreover, the new advection scheme has the potential of a controllable artificial diffusivity. Preliminary results are shown including a fully three-dimensional internal laminar flow evolving in a relatively complex geometry and a 3D methane-air flame simulated with the aid of libraries based on the Flamelet model.

Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows

1999 ◽  
Vol 152 (2) ◽  
pp. 423-456 ◽  
Author(s):  
Denis Gueyffier ◽  
Jie Li ◽  
Ali Nadim ◽  
Ruben Scardovelli ◽  
Stéphane Zaleski
Keyword(s):  
Surface Stress ◽  
Three Dimensional ◽  
Volume Of Fluid ◽  
Interface Tracking ◽  
Fluid Interface

A simple and conservative operator-splitting semi-Lagrangian volume-of-fluid advection scheme

2012 ◽  
Vol 231 (15) ◽  
pp. 4981-4992 ◽  
Author(s):  
Zhaoyuan Wang ◽  
Jianming Yang ◽  
Frederick Stern
Keyword(s):  
Operator Splitting ◽  
Volume Of Fluid ◽  
Advection Scheme

A Viscoelastic VOF-PROST Code for the Study of Drop Deformation

Volume 3 ◽  
2004 ◽  
Author(s):  
Y. Renardy ◽  
M. Renardy ◽  
T. Chinyoka ◽  
D. B. Khismatullin ◽  
J. Li
Keyword(s):  
Surface Tension ◽  
Constitutive Equation ◽  
Viscoelastic Medium ◽  
Three Dimensional ◽  
Surface Tension Force ◽  
Volume Of Fluid ◽  
Tension Force ◽  
Drop Deformation ◽  
Volume Of Fluid Method ◽  
Viscoelastic Liquids

A volume of fluid method is developed with a parabolic representation of the interface for the surface tension force (VOF-PROST). This three-dimensional transient code is extended to treat viscoelastic liquids with the Oldroyd-B constitutive equation. Simulations of deformation for a Newtonian drop in a viscoelastic medium under shear are reported.

Application of High-Resolution Spatial Discretization Schemes to Volume-of-Fluid Simulations on Three-Dimensional Unstructured Meshes

2007 ◽  
Author(s):  
D. Keith Walters
Keyword(s):  
High Resolution ◽  
Volume Fraction ◽  
Phase Interface ◽  
Three Dimensional ◽  
Volume Of Fluid ◽  
Unstructured Meshes ◽  
Spatial Discretization ◽  
Upwind Schemes ◽  
Discretization Schemes ◽  
Control Volumes

The interface capturing approach to volume-of-fluid (VOF) simulation relies on high-resolution spatial discretization of the volume fraction equation, without explicit reconstruction of the phase interface within computational control volumes. One advantage of this approach is that it may be applied on general topology meshes in a straightforward manner. This paper investigates the performance of two different high-resolution discretization schemes used for the solution of the volume fraction equation on three-dimensional unstructured meshes. The schemes are used to obtain results for several simple test problems, including convection of a round and a square phase profile in a uniform fluid stream, two-phase oil and water flow in an inclined channel, and convection of a round jet-in-crossflow. The performance of the two schemes is compared in terms of their ability to minimize the effects of numerical dissipation, which tends to “smear” the phase interface over several computational control volumes. It is shown that a recently proposed scheme that relies on maximization of the volume fraction gradient in the region of the interface yields substantially better results than a more commonly used NVD (normalized variable diagram) based scheme, as well as traditional first and second-order upwind schemes.

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