Source representations

The distance from the center of the flame to the top of the process equipment, R, is calculated assuming the arrangement shown in Figure 5-18. Selecting the top of the process equipment as the target will lead to higher incident fluxes, as this location is closest to the point source representation of the fire (i.e., mid-height of the flame). 

Based on geometry, the cosine of the angle between the point source representation of the flame, and the target point is calculated as ... 

Boucher O., Moulin C., Belviso S., Aumont O., Bopp L., Cosme E., von Kuhlmann R., Lawrence C. G., Pham M., Redyy M. S., Sciare J., and Venkataraman C. (2002) Sensitivity study of dimethylsulphide (DMS) atmospheric concentrations and sulphate aerosol indirect radiative forcing to the DMS source representation and oxidation. Atmos. Chem. Phys. Discuss. 2, 1181-1216. 

Figure 2. Equivalent source representation of the left ventricle.

Parallelization The task of determining which parts of the program are actually independent, and can therefore execute concurrently. Compilers that use these techniques usually treat them as high-level transformations, performing both analysis and transformations on a near-source representation of the program. 

A point-source representation of a seismic source can be expressed as... 

A common extension to the point-source representation in Eq. 5 is to incorporate a duration of faulting or, more generally, source activity. In a moment expansion of the stress glut, this corresponds to a nonzero second temporal moment of the stress glut, A convenient way to... 

The time and location for which the sum of the squares of these four moments is minimum can be considered the center of the stress-glut-rate distribution and defines the moment-tensor centroid. A point-source representation of an earthquake is therefore given by the following ten parameters the six independent elements of M,y, the centroid location r, (latitude, longitude, depth), and the centroid time p. 

Regardless of the method employed to obtain the source model, the most common approach used in simulations is to convert the source model into a kinematic source representation, that is, a model that represents the source as a set of equivalent forces (or stresses) that are applied to the forward simulation model to trigger the propagation of seismic waves. These equivalent body forces are such that they produce... 

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