نتایج جستجو برای: viscid burgers equation
تعداد نتایج: 231223 فیلتر نتایج به سال:
We have considered an unmagnetized dusty plasma system consisting of ions obeying superthermal distribution and strongly coupled negatively charged dust. We have used reductive perturbation method and derived the Kordeweg-de Vries-Burgers (KdV-Burgers) equation. The behavior of the shock waves in the plasma has been investigated. Keywords—Shock, Soliton, Coupling, Superthermal ions.
A stochastic representation of the dynamics of the Burger's turbulence model and of the two{dimensional turbulence is developed. The random velocity eld is regarded as a multivariate stochastic Markov process deened by a master equation. It is shown that Burgers' equation and the two{dimensional Navier{Stokes equation are obtained as the macroscopic equations for the averages of the underlying ...
The evolutionary origin of modern viscid silk orb webs from ancient cribellate silk ancestors is associated with a 95% increase in diversity of orb-weaving spiders, and their dominance as predators of flying insects, yet the transition's mechanistic basis is an evolutionary puzzle. Ancient cribellate silk is a dry adhesive that functions through van der Waals interactions. Viscid threads adhere...
In this paper, we shall use the variational iteration method to introduce a framework for analytic treatment of linearized Burgers’ equation and coupled Burgers’ equations in 2dimensional space. For these equations, the exact solutions are obtained. The paper confirms the power and efficiency of the method in reducing the size of the calculation, also the simplicity of the method compared with ...
We describe an approach to nonlocal, nonlinear advection in one dimension that extends the usual pointwise concepts to account for nonlocal contributions to the flux. The spatially nonlocal operators we consider do not involve derivatives. Instead, the spatial operator involves an integral that, in a distributional sense, reduces to a conventional nonlinear advective operator. In particular, we...
Abstract. This paper discusses the symbol of the Hessian of a shape optimization problem in a viscid, incompressible flow. The symbol of the Hessian for the Stokes shape optimization problem is analytically approximated by tracking a Fourier mode through the operators involved. We propose a discrete method for finding the symbol and confirm the correctness by comparison with the analytical data...
Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations one spatial direction and traffic flow, for example. Following on from previous work, we analyse solutions complex plane, concentrating dynamics of singularities their relationship solution real line. For an initial condition simple pole each upper- lower-half planes, apply formal as...
Abstract Computational fluid dynamics (CFD) simulations are a vital part of the design process in aerospace industry. Although reliable CFD results can be obtained with turbulence models, direct numerical simulation complex bodies three spatial dimensions (3D) is impracticable due to massive amount computational elements. For instance, 3D turbulent boundary-layer over wing commercial jetliner t...
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