BACKGROUND Freezing of gait is a debilitating and common gait disturbance observed in individuals with Parkinson's disease (PD). Although the underlying mechanisms of freezing remain unclear, bilateral coordination of steps, measured as a phase coordination index, has been suggested to be related to freezing. Phase coordination index has not, however, been measured during tasks associated with ...

In this paper, an application of the Picard's iterative method for finding the solution of two phase Stefan problem is presented. In the proposed method an iterative connection is formulated, which allows to determine the temperature distribution in considered domain. Another unknown function, describing position of the moving interface, is approximated with the aid of linear combination of som...

PURPOSE: Level set methods are often used to capture interface behavior in two-phase, incompressible flow models. While level set techniques for structured computational grids have been widely investigated, approaches for unstructured meshes are less mature. This report details the formulation and implementation of a discontinuous Galerkin-based approach that is suitable for unstructured meshes...

An anisotropic adaptation process is applied to a three-dimensional incompressible two-phase flow solver. The solver uses a level set/finite element method on unstructured tetrahedral meshes. We show how the level set function can be used to build an anisotropic mesh with good properties. Some computations with a strong transient character and large densities ratios (1/1000) are presented. We s...

In this paper we present and compare primal discontinuous Galerkin formulations of the two-phase flow equations. The wetting phase pressure and saturation equations are decoupled and solved sequentially. Proposed adaptivity in space and time techniques yield accurate and efficient solutions. Slope limiters valid on non-conforming meshes are also presented. Numerical examples of homogeneous and ...

Numerical simulation of two-phase multicomponent flow in permeable media with species transfer between the phases often requires use of higher-order methods. Unlike first-order methods, higher-order methods may be very sensitive to problem formulation. The sensitivity to problem formulation and lack of recognition have hindered the widespread use of higher-order methods in various problems incl...

The simulation of two-phase flow problems involving two time-dependent spatial regions with different physical properties is computationally hard. The numerical solution of such problems is complicated by the need to represent the movement of the interface. The level set approach is a front-capturing method representing the position of the interface implicitly by the root of a suitably defined ...

The “conceptual graph” is a conventionally adopted assisted teaching method. Conceptual graphs display the achievements of students. This study proposes a novel learning activity called “Two-Phase Cooperative Learning.” The framework of this activity is based on the conceptual graph. The system includes the Dynamic Remedial Instruction Path (DRIP) and the grouping of cooperative learning phases...