The minimal seeds (the disturbance with the lowest energy which triggers turbulence) for plane shear flows have been captured by the variational method dealing with the nonlinear Navier-Stokes equations.
It is well known that the transition from a laminar to a turbulent flow takes place in a rigid tube takes place at a Reynolds number of about 2100, and in a rigid channel at a Reynolds number of about 1200.
Large-eddy simulation (LES) has gained significant importance as a high-fidelity technique for the numerical resolution of complex turbulent flow.
A set of governing equations to describe gas-liquid flows with phase change in the low Mach number limit will be presented.
A family of high order TENO (targeted ENO) schemes has been proposed by Fu et al. [JCP 305 (2016): 333-359] [JCP 349 (2017): 97-121].
A large-eddy simulation of turbulent channel flow at Re_tau=1700 is conducted to clarify scale interactions and spectral energy transfer.
Separation and reattachment of a turbulent boundary layer are crucial issues in aeronautical and engineering applications since they are associated with upper bound of efficiency for the devices.
We consider the numerical solution of parameterized linear systems where the system matrix, the solution, and the right-hand side are parameterized by a set of uncertain input parameters. We explore spectral methods in which the solutions are approximated in a chosen finite-dimensional subspace.
Radiative heat transfer process in combustion systems has received relatively little attention to date. Recently, it starts to generate increasing interest given the current trends of engine designs for both internal combustion engines and aeronautical engines.
The dynamics of velocity gradients in turbulent flows not only represent an attractive way to explore theoretical issues such as intermittency, but also prove important for a number of micro-physical processes that occur in turbulent environments.
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