Quadrature-based moment methods for the population balance equation: An algorithm review
نویسندگان
چکیده
منابع مشابه
Numerical Aspects of Direct Quadrature-based Moment Methods for Solving the Population Balance Equation
Direct-quadrature generalized moment based methods were analysed in terms of accuracy, computational cost and robustness for the solution of the population balance problems in the [0, ) ∞ and [0,1] domains. The minimum condition number of the coefficient matrix of their linear system of equations was obtained by global optimization. An heuristic scaling rule from the literature was also evaluat...
متن کاملRealizable high-order finite-volume schemes for quadrature-based moment methods applied to diffusion population balance equations
Dilute gas–particle flows can be described by a kinetic equation containing terms for spatial transport, gravity, fluid drag and particle–particle collisions. However, direct numerical solution of kinetic equations is often infeasible because of the large number of independent variables. An alternative is to reformulate the problem in terms of the moments of the velocity distribution. Recently,...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولAn Evaluation of Selected Numerical Methods for Solving the Population Balance Equation
The capability of high order methods to solve the population balance equation is studied in this work. The Least Square Method, the Nyström Method and a low order version of the Nyström method, called the Discrete Method, are applied to a general population balance equation containing breakage terms only. In order to perform a rigorous error analysis, analytical solutions are used. In general t...
متن کاملA population-based algorithm for the railroad blocking problem
Railroad blocking problem (RBP) is one of the problems that need an important decision in freight railroads. The objective of solving this problem is to minimize the costs of delivering all commodities by deciding which inter-terminal blocks to build and by specifying the assignment of commodities to these blocks, while observing limits on the number and cumulative volume of the blocks assemble...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chinese Journal of Chemical Engineering
سال: 2019
ISSN: 1004-9541
DOI: 10.1016/j.cjche.2018.11.028