In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with the aid of the Laplace transform. The results are given to demonstrate the efficiency of the proposed formulations to describe the anomalous adv...

We report near-infrared measurements of the terminator region transmission spectrum and dayside emission spectrum of the exoplanet WASP-12b obtained using the HST WFC3 instrument. The disk-average dayside brightness temperature averages about 2900 K, peaking to 3200 K around 1.46 μm. Both the dayside and terminator region spectra can be explained in terms of opacity due to the metal hydrides Cr...

Mooring measurements at 0 ø, 165øE, for the period November 1988 to August 1991 indicate that surface layer structure was characterized by two distinct climatic regimes associated with dramatic differences in large-scale atmospheric and oceanic conditions. La Nifia conditions existed from November 1988 to November 1989, during which time the easterly trades were strong, Ekman divergence and upw...

We investigate pattern formation and evolution in coupled map lattices when advection is incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into five classes: three periodic, supporting static patterns and traveling waves, and two nonperiodic. Relative frequencies are determined as a function of all model parameters: diffusion, advection, local nonlinear...

A non-oscillatory numerical scheme based on a general solution of unsteady advection–di usion equations is presented. A general solution for initial value problems of linear two-dimensional unsteady advection–di usion equations is obtained using the spectral method. The resulting numerical scheme is explicit with respect to time, and ful lls the Patankar’s positive coe cients condition for any ...

The moisture budget associated with the eastward-propagating Madden–Julian oscillation (MJO) was diagnosed using 1979–2001 40-yr ECMWF Re-Analysis (ERA-40) data. A marked zonal asymmetry of the moisture relative to the MJO convection appears in the planetary boundary layer (PBL, below 700 hPa), creating a potentially more unstable stratification to the east of the MJO convection and favoring th...

introduction climate is a system consisting of atmosphere, lithosphere, cryosphere, hydrosphere, and biosphere. this system is involved in the exchange of energy and moisture among these five components. the exchanges link the atmosphere as the central component of the climate to other spheres. changes do not occur separately in this system; rather change in one component contributes to reactio...

Direct numerical simulations of turbulent Taylor-Couette flows are performed to investigate the effect a traveling wave control on torque and heat transfer. In flow, inner outer cylinders rotating immobile, respectively, temperature difference between cylinder walls is maintained as constant. The ratio 0.882, Reynolds number set 84,000. A wave-like blowing suction imposed an wall. parametric st...

The annual onset of the east Pacific cold tongue is diagnosed in an ocean GCM simulation of the tropical Pacific. The model uses a mixed-layer scheme that explicitly simulates the processes of vertical exchange of heat and momentum with the deeper layers of the ocean; comparison with observations of temperature and currents shows that many important aspects of the model fields are realistic. As...

in this work we solve the set of hydrodynamical equations for accretion disks in the spherical coordinates (r,θ,ϕ) to obtain the explicit structure along θ direction. we study a two-dimensional advective accretion disc in the presence of thermal conduction. we find self-similar solutions for an axisymmetric, rotating, steady, viscous-resistive disk. we show that the global structure of an advec...