Record Details

Extending explicit and linearly implicit ODE solvers for index-1 DAEs

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Extending explicit and linearly implicit ODE solvers for index-1 DAEs
 
Creator LAWDER, MT
RAMADESIGAN, V
SUTHAR, B
SUBRAMANIAN, VR
 
Subject DIFFERENTIAL-ALGEBRAIC EQUATIONS
INITIAL-VALUE PROBLEMS
LITHIUM-ION BATTERIES
RUNGE-KUTTA METHODS
CONSISTENT INITIALIZATION
NUMERICAL-SOLUTION
SYSTEMS
SIMULATION
INTEGRATION
SOFTWARE
Differential algebraic equations
Initialization Explicit solvers
Consistent initial conditions
Single-step solution
 
Description Nonlinear differential-algebraic equations (DAE) are typically solved using implicit stiff solvers based on backward difference formula or RADAU formula, requiring a Newton-Raphson approach for the nonlinear equations or using Rosenbrock methods specifically designed for DAEs. Consistent initial conditions are essential for determining numeric solutions for systems of DAEs. Very few systems of DAEs can be solved using explicit ODE solvers. This paper applies a single-step approach to system initialization and simulation allowing for systems of DAEs to be solved using explicit (and linearly implicit) ODE solvers without a priori knowledge of the exact initial conditions for the algebraic variables. Along with using a combined process for initialization and simulation, many physical systems represented through large systems of DAEs can be solved in a more robust and efficient manner without the need for nonlinear solvers. The proposed approach extends the usability of explicit and linearly implicit ODE solvers and removes the requirement of Newton-Raphson type iteration. Published by Elsevier Ltd.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2016-01-14T13:25:41Z
2016-01-14T13:25:41Z
2015
 
Type Article
 
Identifier COMPUTERS & CHEMICAL ENGINEERING, 82,283-292
0098-1354
1873-4375
http://dx.doi.org/10.1016/j.compchemeng.2015.07.002
http://dspace.library.iitb.ac.in/jspui/handle/100/17610
 
Language en