  Gibson scaling and related properties of flame-surface geometry in turbulent
premixed combustion are demonstrated using a novel computational model,
Deterministic Turbulent Mixing (DTM). In DTM, turbulent advection is
represented by a sequence of maps applied to the computational domain. The
structure of the mapping sequence incorporates pertinent scaling properties of
the turbulent cascade. Here, combustion in Kolmogorov turbulence
(kinetic-energy cascade) and in Bolgiano-Obukhov convective turbulence
(potential-energy cascade) is simulated. Implications with regard to chemical
flames and astrophysical (thermonuclear) flames are noted.
