Factors Affecting the Academic Achievements among Dean’s Listers of Caraga State University

The study assessed the relationship between the factors affecting the academic achievement of the dean’s listers’ of Caraga State University. It involves the total population of the dean’s listers in the said university. The independent variables are those pre-determined factors’ affecting the academic achievement of the dean’s listers’ of Caraga State University and the dependent variable is the grades of the dean’s listers’. The result shows the low relationship between the pre-determined factors and the academic achievement evidenced by the values of the p-values which are greater than. In terms of the academic achievement of the dean’s listers’ their grades signifies their excellence in their different chosen fields. With regards to the pre-determined factors, the factor that got the highest mean is the teachers’ competence with 3.7639 and the lowest one is the learning environment with 3.6690. The study habits’ got the second spot among the 4 factors followed by the learning styles. Based on Spearmen Correlation analysis in the data gathered, the results revealed that there is no significant relationship between the pre-determined factors and the academic achievement of the dean’s listers’ of Caraga State University. The p-values obtained are less than 0.05 for all the data set; that is accepting the null hypothesis. The results clearly depicts that the students’ study habit, learning style teachers’ competence and the learning environment has no influence to the achievement reached by the dean’s listers’. On the other hand, it is still very important to make and to maintain these factors visible in the academic arena for a better learning and for a better outcome. The absence of these factors might affect the performances of the students’ in Caraga State University.

An Artificial Compressibility Formulation for Phase-Field Model and its Application to Two-Phase Flows

An Artificial Compressibility Formulation for Phase-field Model and its Application to Two-phase Flows With the advent of high-speed computers, computational methods have become a very useful tool for solving problems in science and engineering along with analytical and ex perimental approaches. The starting point of computational methods is the mathematical model, the form, and origin of which depends on the particular field of study. Many im portant physical processes in nature are governed by partial differential equations (PDE’s). For this reason, it is important to understand the physical behavior of the PDE’s. Also, the knowledge of mathematical character, properties, and solution of the equations are re quired. A proper mathematical model and a good numerical method can provide realistic answerstocomplexphysicalphenomenaforwhichanalyticalsolutionmaynotbeavailable in a finite time. Two-phase flow occurs in nature and many areas of physical and biological sciences like oil recovery processes (water and oil), blood flow (plasma and blood cell), mud-flow (wa ter and suspended particles), atmosphere and ocean system (air and water), cloud and fog (water and air). In dealing with the two-phase flow, an important consideration is how to modelthemovinginterface/surface. Nevertheless,thePDEsdescribingthetwo-phaseflow are highly nonlinear and stiff so it is difficult to solve them analytically and a numerical simulation is an alternate option. The numerical solution obtained may only approximate that of original problem or at least within some required tolerance of the true solution. However,accuratesimulationofmovinginterfacepresentsaproblemofconsiderablediffi cultyandisthereforeverychallengingfordevelopingnumericalmethodsusinglarge-scale computation. Also, the boundary conditions need a particular treatment near the moving interface during numerical simulations. Shocks in the compressible flows, vortex sheets in inviscid flows, and boundaries between immiscible fluids are some of the very known examples. Mathematicalmodelsadoptedinbothanalyticalandnumericalstudiesforavarietyoftwo phase flow with moving interface are classified into two types, i.e., sharp interface models and diffuse interface models. Sharp interface models like level set method assume that the interface has zero thickness. However, in the phase transition, the existence of a transition region introduces the idea of the diffuse interface that allows the interface to have finite thickness. Onetypeofdiffuse-interfacemodelsofparticularinterestisaphase-fieldmodel by an introduction of a phase-field variable that represents the interface. In this approach, the phase-field variable is a continuous function in space and time. Phase-field models are numerically attractive for not tracking the interface explicitly but can be obtained as a part of the solution processes. InordertosolveunsteadyincompressibleNavier-Stokesequations,severalnumericalmeth ods are developed, including the artificial compressibility method. In this research work, a numerical algorithm based on artificial compressibility formulation of the phase-field modelisusedforsimulatingtwo-phaseflowsproblems. Thecoupledhydrodynamicalsys tem consists of the incompressible Navier-Stokes equations and volume preserving Allen Cahntypephase-fieldequationarerecastintoconservativeformswithsourceterms,which are suited for implementing high-order and high-resolution discretization schemes. The Boussinesq approximation is used for buoyancy effects in the flow with moderately differ ent densities. The performance of the numerical method is demonstrated by its application to some benchmark two-phase flow problems.