Two and three dimensional overset grid solutions of Eular/Navier-stokes equations

Inverse problems for parabolic equations Baysal, Arzu; Çelebi, Okay; Department of Mathematics (2004) In this thesis, we study inverse problems of restoration of the unknown function in a boundary condition, where on the boundary of the domain there is a convective heat exchange with the environment. Besides the temperature of the domain, we seek either the temperature of the environment in Problem I and II, or the coefficient of external boundary heat emission in Problem III and IV. An additional information is given, which is the overdetermination condition, either on the boundary of the domain (in Proble...
Boundary value problems for higher order linear impulsive differential equations Uğur, Ömür; Akhmet, Marat; Taşeli, Hasan; Department of Mathematics (2003) The theory of impulsive di®erential equations has become an important area of research in recent years. Linear equations, meanwhile, are fundamental in most branches of applied mathematics, science, and technology. The theory of higher order linear impulsive equations, however, has not been studied as much as the cor- responding theory of ordinary di®erential equations. In this work, higher order linear impulsive equations at xed moments of impulses together with certain boundary conditions are investigated...
Global behavior of solutions of the Brinkman-Forchheimer equations Uğurlu, Davut; Çelebi, Okay; Kalantarov, Varga; Department of Mathematics (2001)
Boundary element method formulation and its solution in forward problem of electrocardiography by using a realistic torso model Kurt, Arda; Weber, Gerhard Wilhelm; Department of Scientific Computing (2006) The electrical currents generated in the heart propagate to the outward direction of the body by means of conductive tissues and these currents yield a potential distribution on the body surface. This potential distribution is recorded and analyzed by a tool called electrocardiogram. It is not a problem, if this process continues normally; however, when it is distorted by some abnormalities, the results will be fatal. Electrocardiography (ECG) is the technique dealing with the acquisition and interpretation...
Mathematical modelling of enzymatic reactions, simulation and parameter estimation Özöğür, Süreyya; Karasözen, Bülent; Department of Scientific Computing (2005) A deep and analytical understanding of the human metabolism grabbed attention of scientists from biology, medicine and pharmacy. Mathematical models of metabolic pathways offer several advances for this deep and analytical understanding due to their incompensable potential in predicting metabolic processes and anticipating appropriate interventions when required. This thesis concerns mathematical modeling analysis and simulation of metabolic pathways. These pathways include intracellular and extracellular c...

Citation Formats

E. Tarhan, “Two and three dimensional overset grid solutions of Eular/Navier-stokes equations,” Ph.D. - Doctoral Program, Middle East Technical University, 2003.