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Direct numerical simulations of two-layer viscosity-stratified flow, by Qing Cao, Kausik Sarkar, Ajay K. Prasad, Int. J. Multiphase Flow (2004) 30, 1485–1508 by Theo G. Theofanous; Robert R. Nourgaliev; Suthee Wiri is a Engineering article available to read on EtoBox.

What is Direct numerical simulations of two-layer viscosity-stratified flow, by Qing Cao, Kausik Sarkar, Ajay K. Prasad, Int. J. Multiphase Flow (2004) 30, 1485–1508 about?

The purpose of this Communication is to call into question the Cao, Sarkar, and Prasad (2004, CSP) conclusions about the validity of the diffuse interface method for direct numerical simulations of such (shear) flows. This has also an impact on understanding the interfacial-instability physics of sharp vs. diffuse (smeared, sheared) interfaces. We discovered the issue in trying to understand the CSP code-benchmark comparisons with our DNS code MuSiC-SIM (Nourgaliev et al., 2006a,b,) -the ''SIM'' stands for ''Sharp Interface Method''. Our code solves the Navier-Stokes equations in a multi-fluid system by matching the flow fields across interfaces (as is the case for immiscible fluids) through the exact (jump) conditions. The code used by CSP is based on a widespread modeling idea that ''imbeds'' interfaces in the same overall calculation (of a single ''fluid'') as ''smeared'' or ''diffuse'' transition regions for fluid properties (density, viscosity, etc.), hence, ''Immersed Boundary Method'', or ''Diffuse Interface Method'' (DIM) -see for example Griffith and Peskin (2005). The other key ingredient of this modeling approach is that the surface tension is modeled as a volume source

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Author

Theo G. Theofanous; Robert R. Nourgaliev; Suthee Wiri

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0301-9322)

Published

2007

Language

EN

Field

Engineering (Physical Sciences)