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Real-space advection

With pure advection processes, we refer to continuous phenomena that cause continuous changes in the external and internal coordinates. Continuous changes of the particle s position in real space are quantified by the real-space advection (or free-transport) term ... [Pg.139]

Real-space advection represents the movement of the particles in real space. As already reported in Eq. (5.3), it is represented by the second term on the left-hand side of the GPBE (seeEq. (5.1)) ... [Pg.177]

If the NDF is a function of the particle velocity then the solution of the GPBE provides the modeler with the essential information for calculating the real-space advection term. This approach is used whenever the particle Stokes number is not small, and will result in the development of a particle-velocity distribution. More details on this topic can be found in Chapter 8. An alternative approach consists of integrating the NDF with respect to the particle velocity. Let us consider, for example, a generic NDF n(t,x, p, p), which is a function of the time t, space x, particle velocity Vp, and internal coordinates p. By integrating out the particle velocity the following NDF is obtained ... [Pg.178]

Likewise, if the particle velocity is integrated out from Eq. (5.3), the following expression for the real-space advection term is obtained ... [Pg.178]

This PBE is written in a general form and contains the terms representing accumulation, real-space advection, phase-space advection, phase-space diffusion, and second-, first-, and zeroth-order point processes. (See Chapter 5 for more details on these processes.) Let us... [Pg.319]

Chapter 5 focuses on selected mesoscale models from the literature for key physical and chemical processes. The chapter begins with a general discussion of the mesoscale modeling philosophy and its mathematical framework. Since the number of mesoscale models proposed in the literature is enormous, the goal of the chapter is to introduce examples of models for advection and diffusion in real and phase space... [Pg.524]


See other pages where Real-space advection is mentioned: [Pg.136]    [Pg.137]    [Pg.161]    [Pg.177]    [Pg.177]    [Pg.178]    [Pg.178]    [Pg.179]    [Pg.181]    [Pg.182]    [Pg.182]    [Pg.320]    [Pg.421]    [Pg.215]    [Pg.28]    [Pg.511]    [Pg.447]    [Pg.205]   
See also in sourсe #XX -- [ Pg.28 , Pg.136 , Pg.139 , Pg.161 , Pg.177 , Pg.178 , Pg.182 , Pg.184 , Pg.319 , Pg.320 , Pg.341 ]




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