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Reconstructing Volume Tracking
A new algorithm for the volume tracking of interfaces in two dimensions is presented. The algorithm is based upon a well-defined, second-order geometric solution of a volume evolution equation. TheExpand
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A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows
We present a numerical method for computing solutions of the incompressible Euler or Navier?Stokes equations when a principal feature of the flow is the presence of an interface between two fluidsExpand
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Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics
Introduction Fernando Grinstein, Len Margolin and William Rider Part I. Motivation: 1. Historical introduction Jay Boris 2. ILES for turbulent flows: a rationale Fernando Grinstein, Len Margolin andExpand
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High-Resolution Methods for Incompressible and Low-Speed Flows
Fundamental Physical and Model Equations.- The Fluid Flow Equations.- The Viscous Fluid Flow Equations.- Curvilinear Coordinates and Transformed Equations.- Overview of Various Formulations and ModelExpand
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Volume tracking of interfaces having surface tension in two and three dimensions
Solution algorithms are presented for tracking interfaces with piecewise linear (PLIC) volume-of-fluid (VOF) methods on fixed (Eulerian) two-dimensional (2-D) structured and three-dimensional (3-D)Expand
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Modeling turbulent flow with implicit LES
TLDR
Implicit large eddy simulation (ILES) is a methodology for modeling high Reynolds number flows that combine computational efficiency and ease of implementation with predictive calculations and flexible application. Expand
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On sub-linear convergence for linearly degenerate waves in capturing schemes
TLDR
A common attribute of capturing schemes used to find approximate solutions to the Euler equations is a sub-linear rate of convergence with respect to mesh resolution. Expand
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A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov
A numerical study is undertaken comparing a fifth-order version of the weighted essentially non-oscillatory numerical (WENO5) method to a modern piecewise-linear, second-order, version of Godunov'sExpand
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