Department of Mathematics

Indian Institute Of Technology Madras , Chennai
Dr. Sanyasiraju V S S Yedida
HSB - 247B
DESIGNATION

Professor

CURRENT RESEARCH INTEREST

Computational Fluid Dynamics

CONTACT

044 - 2257 4621

sryedida

RESEARCH GROUPS
PERSONAL HOME PAGE   https://scholar.google.co.in/citations?user=vBtK6-4AAAAJ&hl=en

Teaching :

MA5490 Fluid dynamics

Kinematics of Fluid flow, Laws of fluid motion, Inviscid incompressible flows, two and three-dimensional motions, inviscid compressible flows; Viscous incompressible flows, Navier-Stokes equations of motion and some exact solutions; Flows at small Reynolds numbers; Boundary layer theory.

MA5720 Numerical analysis of differential equations

Ordinary Differential Equations: Initial value problems- basic theory and application of multistep methods (explicit and implicit), stability analysis- zero stability, absolute stability, relative stability and intervals of stability, eigenvalue problems, predictor- corrector methods, Runge-Kutta methods, boundary value problems-shooting methods. Partial Differential Equations: (a) Parabolic Equations:Explicit and implicit finite difference approximations to one-dimensional heat equation, Alternating Direction Implicit (ADI) methods. (b) Hyperbolic equations and Characteristics: Numerical integration along a characteristic, equations, numerical solution by the method of characteristics, finite diference solution of second order wave equation. (c) Elliptic equations: finite difference methods in polar coordinates, techniques near curved boundaries, improvement of accuracy- direct and iterative schemes to solve systems, methods to accelerate the convergence. (d) Convergence, consistency and stability analysis.

Recent Publications :

No Publication history recorded