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Showing 1 to 10 of 10 for “"Orthogonal collocation"”.
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Mathematical Modeling and Scanning Electron Microscopic Study of Biofilm on Adsorptive Media (Orthogonal Collocation Method)
… An advanced numerical technique, the Global Orthogonal Collocation Method, was employed to solve the model.
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Multiscale Modeling, Reformulation, and Efficient Simulation of Lithium-Ion Batteries
… by using a coordinate transformation and orthogonal collocation to reduce the number of equations which must be solved using the method of lines. Orthogonal collocation is a spectral method which approximates all dependent variables as a series solution of trial functions. This approach …
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Efficient Modeling of the Lithium Ion Cell Using the Proper Orthogonal Decomposition Method
… most time consuming model.</p> <p> The proper orthogonal decomposition method was also applied to develop an efficient, reduced order electrochemical-thermal model for a lithium ion cell. This model was validated for discharge simulations over a wide range of C rates and various cooling …
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Simultaneous Modeling and Optimization of a Cascade of Electrochemical Reactors
… algebraic and differential equations. An orthogonal collocation technique was used to approximate the differential equation. An efficient and reliable nonlinear equation solver based on a modification of Powell's dogleg method called NEQLU was used to solve the system of nonlinear …
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Optimisation of complex distillation colomn systems using rigorous models
… has been overcome by using a technique called orthogonal collocation in which the profiles in the columns are represented by polynomials of a lower order than would be required normally. This significantly reduces the process times and makes the use of non-equilibrium models a possibility in …
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Reduced order modeling of distillation systems
… relaxed. The models are all developed using orthogonal collocation. The order reduction properties of collocation are well documented. A low order model is desirable as the subsequent generation of data required for assessing the separation feasibility is fast. The first model is the simplest …
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Advancement and analysis of Gauss pseudospectral transcription for optimal control problems
… methods, and in particular, methods involving orthogonal collocation have become quite popular in several field areas due to their high accuracy in approximating non-analytic solutions with relatively few discretization points. Several of these methods, known as pseudospectral methods in the …
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Development of a nonlinear predictive control algorithm and its application to flotation
… of it. In this work the BVP is solved by orthogonal collocation, using the FORTRAN package COLSYS. Stragegies are developed to solve a number of different classes of optimal control problems, including problems with constraints on the control trajectory, and terminal state constraints. An …
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Modeling of Activated Carbon and Coal Gasification Char Adsorbents in Single-Solute and Bisolute Systems
… rate, were solved with the technique of orthogonal collocation. Three species, 3,5-dimethylphenol (DMP), 3,5-dichlorophenol (DCP) and rhodamine 6G (R6G), were the single solutes studied, and the two phenols were also examined as a mixture. Four activated carbons and a coal gasification …
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Optimization of chemical plant simulation using double collocation
… differential equations and optimization. Double orthogonal collocation on finite elements is applied to convert the model into an NLP problem that is solved either by the VF 13AD package based on successive quadratic programming, or by the GRG2 package, based on the generalized reduced gradient …