We present a numerical method for computing solutions of the incompressible Euler or Navier–Stokes equations when a principal rt 1 = ? (ru) 5 0, (1) feature of the flow is the presence of an interface between two fluids with different fluid properties. The method is based on a where u denotes the fluid velocity. To obtain high-order second-order projection method for variable density flows usin...

in this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the hunter-saxton equation. the main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. it is a semi analytical-numerical metho...

Rising energy costs have spawned renewed interest in improving methodologies for the synthesis, design and/or retrofitting of separation rocesses. It is well known that energy use in many process industries is dominated by separation tasks—particularly distillation. In this work, the hortest stripping line approach recently proposed by Lucia, Amale, & Taylor (2006) is used to find minimum energ...

In this paper, we present our recent development of a model-domain environment-robust adaptation algorithm, which demonstrates high performance in the standard Aurora 2 speech recognition task. The algorithm consists of two main steps. First, the noise and channel parameters are estimated using multi-sources of information including a nonlinear environment distortion model in the cepstral domai...

Estimating cropland latent heat flux (LE) from continental to global scales is vital to modeling crop production and managing water resources. Over the past several decades, numerous LE models were developed, such as the moderate resolution imaging spectroradiometer LE (MOD16) algorithm, revised remote sensing-based Penman-Monteith LE algorithm (RRS), the Priestley-Taylor LE algorithm of the Je...

We present a decomposition algorithm to solve a multi-level large scale quadratic programming problem with stochastic parameters in the objective functions. In the first phase of the solution algorithm and to avoid the complexity of this problem, the stochastic nature of the problem is converted into the equivalent crisp problem. In the second phase, Taylor series is combined with a decompositi...