Standard DQMOM

When standard DQMOM is applied, transport equations for weights and weighted abscissas are solved [Pg.450]

It is important to remind the reader that this correction term is necessary in order to correctly transport moments of order greater than one (i.e. k 2). [Pg.451]

As discussed in Chapter 8, when the FVM with uniform grid spacing Ax is employed, the following volume-average quantities in the cell centered at x are defined [Pg.451]

Appendix D. The direct quadrature method of moments fully conservative [Pg.452]

weights at the cell interfaces reconstructed from the volume-average [Pg.452]

With standard DQMOM, when the explicit Euler scheme in time and the first-order upwind differencing scheme for space are employed, the volume-average weights in the cell centered at X at time (n + l)Af are... [Pg.456]

In summary, DQMOM is a numerical method for solving the Eulerian joint PDF transport equation using standard numerical algorithms (e.g., finite-difference or finite-volume codes). The method works by forcing the lower-order moments to agree with the corresponding transport equations. For unbounded joint PDFs, DQMOM can be applied... [Pg.404]

The current section of the chapter on numerical methods is devoted to an outline of the most frequently used numerical methods for solving the population balance equation either for the particle number distribution function or for a few moments of the number density function. The methods considered are the standard method of moments, the quadrature method of moments (QMOM), the direct quadrature method of moments (DQMOM), the sectional quadrature method of moments (SQMOM), the discrete fixed pivot method, the finite volume method, and the family of spectral weighted residual methods with emphasis on the least squares method. [Pg.1189]

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