2011
DOI: 10.1007/s13160-011-0033-1
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Stochastic determinism for capturing the transition point from laminar flow to turbulence

Abstract: To this day, the transition from laminar flow to turbulence in channels is still an important aspect of many different phenomena such as blood flows, microfluidics, and laminar airfoils. Although a lot of researchers have tried, no methods of computational fluid dynamics can directly simulate the transition point in space for a wide range of Reynolds numbers. Previous research studies have captured only the transition in time. In this report, we present the first successful simulation of the transition point i… Show more

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Cited by 41 publications
(14 citation statements)
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“…As boundary conditions during compression, combustion and expansion processes, Neumann, Dirichlet and no-slip conditions are used for computing pressure, temperature and velocity components on the wall surface, respectively (3,4,9) . Boundary condition of the flame front is also considered (3,4) .…”
Section: Governing Equation and Numerical Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…As boundary conditions during compression, combustion and expansion processes, Neumann, Dirichlet and no-slip conditions are used for computing pressure, temperature and velocity components on the wall surface, respectively (3,4,9) . Boundary condition of the flame front is also considered (3,4) .…”
Section: Governing Equation and Numerical Methodsmentioning
confidence: 99%
“…The present model enables us to simulate the flow field with random disturbance given at the edges of intake ports during the intake process by using the nonlinear stochastic Navier-Stokes equation with chemical reaction (8)(9)(10) . The computations are done at the inlet disturbance condition of 4.10 % (Crank angle = 90 deg.…”
Section: Cyclic Variations Of Combustion In Stratified-charge Direct mentioning
confidence: 99%
See 1 more Smart Citation
“…7, 8, and 12, three-dimensional unsteady compressible Navier-Stokes equations with a weak stochasticity [17][18][19][20] were solved with a simplified two-step chemical reaction model for hydrogen and gasoline. A modified version of simple chemical reaction model, i.e., that slightly modified from the Korobeinikov scheme [25], is employed.…”
Section: Combustion Computationsmentioning
confidence: 99%
“…Three-dimensional compressible Navier-Stokes equations were solved with a simplified two-step chemical reaction model. The cubic interpolated pseudo-particle (CIP) method [4] applied for the governing equation of the multi-level formulation [5,6,7] was employed, which is suitable for calculating both compressible and incompressible problems.…”
Section: Outline Of the New Single Enginementioning
confidence: 99%