Topic
Navier–Stokes equations
About: Navier–Stokes equations is a research topic. Over the lifetime, 18180 publications have been published within this topic receiving 552555 citations. The topic is also known as: Navier-Stokes equations.
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01 Aug 2001
TL;DR: A catalog record for this book is available from the British Library as mentioned in this paper, where the catalog record can be found in the catalogue of the British Museum's Archives of Science and Technology.
Abstract: A catalog record for this book is available from the British Library.
419 citations
TL;DR: In this article, a spatially developing supersonic adiabatic flat plate boundary layer flow (at M∞=2.25 and Reθ≈4000) is analyzed by means of direct numerical simulation.
Abstract: A spatially developing supersonic adiabatic flat plate boundary layer flow (at M∞=2.25 and Reθ≈4000) is analyzed by means of direct numerical simulation. The numerical algorithm is based on a mixed weighted essentially nonoscillatory compact-difference method for the three-dimensional Navier–Stokes equations. The main objectives are to assess the validity of Morkovin’s hypothesis and Reynolds analogies, and to analyze the controlling mechanisms for turbulence production, dissipation, and transport. The results show that the essential dynamics of the investigated turbulent supersonic boundary layer flow closely resembles the incompressible pattern. The Van Driest transformed mean velocity obeys the incompressible law-of-the-wall, and the mean static temperature field exhibits a quadratic dependency upon the mean velocity, as predicted by the Crocco–Busemann relation. The total temperature has been found not to be precisely uniform, and total temperature fluctuations are found to be non-negligible. Consiste...
419 citations
TL;DR: Numerical experiments for fluid structure interaction (FSI) problems involving complex 3D rigid bodies undergoing large structural displacements suggest that both the properties of the structure and local flow conditions can play an important role in determining the stability of the FSI algorithm.
414 citations
TL;DR: In this paper, Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data are presented, and the Navier-Stokes equation is analyzed.
Abstract: (1994). Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data. Communications in Partial Differential Equations: Vol. 19, No. 5-6, pp. 959-1014.
408 citations
TL;DR: In this paper, a stabilized finite element method is proposed to solve the transient Navier-Stokes equations based on the decomposition of the unknowns into resolvable and subgrid scales.
406 citations