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Method of lines for the numerical simulation of heat exchangers
Author(s) -
Wagner Yvonne
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.199807815127
Subject(s) - discretization , heat exchanger , conservation law , partial differential equation , method of lines , scalar (mathematics) , ordinary differential equation , mathematics , computer science , mathematical optimization , differential equation , mathematical analysis , engineering , mechanical engineering , differential algebraic equation , geometry
Heat exchangers are central units within a chemical engineering plant. The time‐dependent, one‐dimensional modelling of such a unit yields a coupled system of hyperbolic partial and ordinary differential equations. Commercial simulation packages need DAEs for all unit operations as input to solve the equations for the whole plant simultaneously. Thus, the method of lines is applied. For the spatial discretization upwind difference schemes are compared with an ENO (Essentially Non‐Oscillatory) method. The latter approach is tailored to scalar conservation laws, but ENO methods also perform well on linear systems with source terms.