skip to main content

Title: A monotonicity preserving conservative sharp interface flow solver for high density ratio two-phase flows

This paper presents a novel approach for solving the conservative form of the incompressible two-phase Navier–Stokes equations. In order to overcome the numerical instability induced by the potentially large density ratio encountered across the interface, the proposed method includes a Volume-of-Fluid type integration of the convective momentum transport, a monotonicity preserving momentum rescaling, and a consistent and conservative Ghost Fluid projection that includes surface tension effects. The numerical dissipation inherent in the Volume-of-Fluid treatment of the convective transport is localized in the interface vicinity, enabling the use of a kinetic energy conserving discretization away from the singularity. Two- and three-dimensional tests are presented, and the solutions shown to remain accurate at arbitrary density ratios. The proposed method is then successfully used to perform the detailed simulation of a round water jet emerging in quiescent air, therefore suggesting the applicability of the proposed algorithm to the computation of realistic turbulent atomization.
Authors:
 [1] ;  [1] ;  [2]
  1. Department of Mechanical Engineering, Stanford University, CA 94305 (United States)
  2. (Germany)
Publication Date:
OSTI Identifier:
22230791
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 249; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; AIR; ALGORITHMS; ATOMIZATION; CALCULATION METHODS; DENSITY; EQUATIONS; INSTABILITY; INTERFACES; KINETIC ENERGY; MATHEMATICAL SOLUTIONS; MULTIPHASE FLOW; SIMULATION; SINGULARITY; SURFACE TENSION; SURFACES; THREE-DIMENSIONAL CALCULATIONS; TWO-PHASE FLOW