ABSTRACT We show that the 1D planar ultrarelativistic shock tube problem with an polytropic equation of state can be solved analytically for case a working surface, i.e. when initial discontinuity on hydrodynamical quantities form two waves separating from contact discontinuity. The procedure is based extensive use Taub jump conditions relativistic waves, adiabatic, and performing Lorentz trans...

Correction for ‘The development of a full range analytical interatomic potential’ by X. W. Sheng et al., Phys. Chem. Phys., 2021, DOI: 10.1039/d0cp04083e.

Clumped-isotope measurements in CO 2 and carbonates (? 47) present a number of technical challenges require correcting for various sources analytical non-linearity. For now we lack formal description the errors associated with these correction steps, which are not accounted most data processing methods currently use. Here formulate quantitative ? 47 error propagation, fully taking into account ...

We present a rigorous theoretical framework for designing full-space spatial power dividers using metagratings. In our study, the current restrictions of dividing platforms such as reflection-only performance, operating at normal incidence, and small reflection/refraction angles have been totally relaxed. A modal expansion analysis based on Floquet-Bloch (FB) theorem is established so that disc...

Non-uniform rational B-spline (NURBS) has been widely used as an effective shape parameterization technique for structural optimization due to its compact and powerful shape representation capability and its popularity among CAD systems. The advent of NURBS based isogeometric analysis has made it even more advantageous to use NURBS in shape optimization since it can potentially avoid the inaccu...