Rolls-royce Corporation

Craig Brian Chapman

David Cameron Wright

Stephen Samuel Wiseall

Sree Vamsi Tammineni

Mani Seethapathy

Pathmeswaran Raju

Determining magnitude of a field variable of an energy wave through domain of interest, including steps of: defining plurality of master-particles spaced within domain, master-particles being representative of field variables of energy wave at location of respective master-particle, and defining supporting domain &#x3a9;for each master-particle; computing field variables including position, magnitude and direction of propagation of each master-particle at predetermined time; defining plurality of virtual-particles within domain representative of magnitude of field variable of wave at location of respective virtual-particle; calculating magnitude uof field variable of each virtual-particle at time of interest by applying formula: where N is total number of master-particles, uis magnitude of respective master-particle, f(q1) is an envelope function relating magnitude of virtual-particle to distance from master-particle in direction of propagation of master-particle, and g(q2) is a smoothing function.

Method of determining the magnitude of a field variable of an energy wave

A method including the steps of: defining an original parent polygon representative domain of interest, an origin corresponding to a wavesource position within the parent, a wavesource wavefront geometry, and a maximum wavefront extent; determining one or more valid parent polygon sides; defining cutting lines from the vertices of each valid parent side to the extent; reflecting the parent about the respective valid side defining a child polygon; discarding portions of each child polygon lying beyond a cutting line from the respective parent side; redefining each child as a parent, and repeating the second to fifth steps for each parent filling the area within the extent; projecting onto the polygons within the extent, a wavefront having the wavefront geometry spaced from the origin by a specified distance; and reflecting the child polygons along the respective sides of their respective parents projecting the child polygons and wavefront onto the original parent.

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Manchester, United Kingdom

Craig Brian Chapman