A universal integrable hierarchy underlying topological Landau-Ginzburg models of D-type is presented. Like the dispersionless Toda hierarchy, the new hierarchy has two distinct (" positive " and " negative ") set of flows. Special solutions corresponding to topological Landau-Ginzburg models of D-type are characterized by a Riemann-Hilbert problem, which can be converted into a generalized hod...

ABSTRACT This paper reports a new method for measurement of periodic flows with phase-sampling technique by using conventional micro particle image velocimetry (PIV). Non-integer multiples for the laser pulse frequency and the frequency of the periodic flow are chosen such that each velocimetry data set represents a unique point in phase for the periodic flow. The method we proposed does not re...

We construct in this paper two classes, based on stabilization and convex splitting, of decoupled, unconditionally energy stable schemes for Cahn-Hilliard phase-field models of two-phase incompressible flows. At each time step, these schemes require solving only a sequence of elliptic equations, including a pressure Poisson equation. Furthermore, all these elliptic equations are linear for the ...

The two-phase flow widely exists in the nature and industrial processes. The measurement of two-phase flows, including gas/solids, gas/liquid and liquid/liquid flows, is still challenging. Fusions of electrical tomography with conventional sensors provide possibilities to improve two-phase flow accurate measurement. In this paper, fusions of (1) electrical resistance tomography (ERT) with elect...

In this paper, a numerical study is conducted in order to compare hyperbolic range of equations of isotherm two-fluid model governing on two-phase flow inside of pipe using conservative Shock capturing method. Differential equations of the two-fluid model are presented in two forms (i.e. form I and form II). In forms I and II, pressure correction terms are hydrodynamic and hydrostatic, respecti...