Journal ArticleDOI
Dynamic simulation of chemical processes described by distributed and lumped parameter models
TLDR
In this article, a general procedure is presented which permits the units to be described by both distributed and lumped parameter models, and the resulting large set of time-dependent ordinary differential equations is solved simultaneously using a Gear-type integrator.About:
This article is published in Computers & Chemical Engineering.The article was published on 1977-01-01. It has received 12 citations till now. The article focuses on the topics: Distributed parameter system & Dynamic simulation.read more
Citations
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Journal ArticleDOI
A modelling and simulation language for combined lumped and distributed parameter systems
M. Oh,Constantinos C. Pantelides +1 more
TL;DR: This paper identifies a number of key issues regarding the development of general modelling languages for combined lumped and distributed parameter processes, and proposes one such language and shows the capability of the proposed modelling system to deal with a wide variety of complex processes described in terms of IPDAEs.
Journal ArticleDOI
Equation oriented approach to process flowsheeting
Journal ArticleDOI
Index Concepts for Linear Mixed Systems of Differential-Algebraic and Hyperbolic-Type Equations
Michael Günther,Yvonne Wagner +1 more
TL;DR: In order to classify these systems, some index notions that have already been introduced to treat parabolic-type problems are extended and it is shown that these indices may detect an artificial sensitivity with respect to perturbations, e.g., if the semidiscretization does not consider the information transport along the characteristics.
Dissertation
A framework for the language and logic of computer-aided phenomena-based process modeling
TL;DR: Development of a framework that raises the level of model development from procedural computations and mathematical equations to the fundamental concepts of chemical engineering science is proposed, suitable for implementation in a computer-aided environment and implemented in a phenomena-based modeling language and logical operators.
Journal ArticleDOI
The sequential-clustered method for dynamic chemical plant simulation
J. C. Fagley,Brice Carnahan +1 more
TL;DR: In this article, the authors describe the design, development and testing of a prototype simulator to study problems associated with robust and efficient solution of dynamic process problems, particularly for systems with models containing moderately to very stiff ordinary differential equations and associated algebraic equations.
References
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Journal ArticleDOI
Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
TL;DR: In this article, the authors present a direct technique which can be applied in a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage and computer time.
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The automatic integration of ordinary differential equations
TL;DR: An integration technique for the automatic solution of an initial value problem for a set of ordinary differential equations and a criterion for the selection of the order of approximation are proposed.
Journal ArticleDOI
Efficient integration methods for stiff systems of ordinary differential equations
TL;DR: In this article, linear one-step methods of a novel design are given for the numerical solution of stiff systems of ordinary differential equations, which permit fast integration with increments h of the independent variable adjusted to the slowly varying, dominant solutions.
Journal ArticleDOI
Software for Nonlinear Partial Differential Equations
TL;DR: The software interface provides centered differencing in the spatial variable for time-dependent nonlinear PDEs, giving a semidiscrete system of nonlinear ordinary differential equations (ODEs), which are then solved using one of the recently developed robust ODE integrators.