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Automatic differentiation-based quadrature method of moments for solving population balance equations

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : Automatic differentiation-based quadrature method of moments for solving population balance equations
นักวิจัย : Kariwala, Vinay , Cao, Yi , K. Nagy, Zoltan
คำค้น : -
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2554
อ้างอิง : Kariwala, V., Cao, Y., & K. Nagy, Z. (2012). Automatic differentiation-based quadrature method of moments for solving population balance equations. AIChE Journal, 58(3), 842-854. , 0001-1541 , http://hdl.handle.net/10220/12315 , http://dx.doi.org/10.1002/aic.12613
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : AIChE journal
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

The quadrature method of moments (QMOM) is a promising tool for the solution of population balance equations. QMOM requires solving differential algebraic equations (DAEs) consisting of ordinary differential equations related to the evolution of moments and nonlinear algebraic equations resulting from the quadrature approximation of moments. The available techniques for QMOM are computationally expensive and are able to solve for only a few moments due to numerical robustness deficiencies. In this article, the use of automatic differentiation (AD) is proposed for solution of DAEs arising in QMOM. In the proposed method, the variables of interest are approximated using high-order Taylor series. The use of AD and Taylor series gives rise to algebraic equations, which can be solved sequentially to obtain high-fidelity solution of the DAEs. Benchmark examples involving different mechanisms are used to demonstrate the superior accuracy, computational advantage, and robustness of AD-QMOM over the existing state-of-the-art technique, that is, DAE-QMOM.

บรรณานุกรม :
Kariwala, Vinay , Cao, Yi , K. Nagy, Zoltan . (2554). Automatic differentiation-based quadrature method of moments for solving population balance equations.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Kariwala, Vinay , Cao, Yi , K. Nagy, Zoltan . 2554. "Automatic differentiation-based quadrature method of moments for solving population balance equations".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Kariwala, Vinay , Cao, Yi , K. Nagy, Zoltan . "Automatic differentiation-based quadrature method of moments for solving population balance equations."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2554. Print.
Kariwala, Vinay , Cao, Yi , K. Nagy, Zoltan . Automatic differentiation-based quadrature method of moments for solving population balance equations. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2554.