We describe a general algorithmic concept for grid refinement in the lattice Boltzmann method. Unlike most of the previously known approaches, the present one is based on volumetric formulation so that conservation laws are exactly guaranteed.

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We explore inherent characteristics of Tauc-Lorentz (TL) dielectric function model [Appl. Phys. Lett. <Emphasis Type="Bold">69, 371 (1996)] on the basis of relevant optical-constant data in the literature. It is found that the (single or multiple) TL model is strongly related to the one-oscillator Wemple-DiDomenico...</emphasis>

The long-wavelength properties of the (d + 1)-dimensional Kuramoto-Sivashinsky (KS) equation with both conservative and nonconservative noises are investigated by use of the dynamic renormalization-group (DRG) theory. The dynamic exponent z and roughness exponent α are calculated for substrate...

We numerically investigate an S=1/2 spin model, in which two dimerized antiferromagnetic rings interact with each other ferromagnetically. It is shown that the order of the magnetoelastic transition is strongly affected by the interring coupling J<Subscript>⊥</Subscript> and there may exist a critical J<Subscript>⊥</Subscript> <Superscript>*</Superscript>...</superscript></subscript></subscript>

An experimental investigation was conducted to evaluate the effects of using methanol as additive to biodiesel-diesel blends on the engine performance, emissions and combustion characteristics of a direct injection diesel engine under variable operating conditions. BD50 (50% biodiesel and 50%...