6 citations · 25 across the 10 of their papers we have counts for
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Conductive Heat Flux Driven by a Pressure Gradient in Non-Maxwellian Reference States
Jae Wan Shim
Standard Navier--Stokes--Fourier theory and Maxwellian-based Grad 13-moment closures yield no independent pressure-gradient driving of the conductive heat flux in an isothermal, si…
Multidimensional On-lattice Higher-order Models in the Thermal Lattice Boltzmann Theory
Jae Wan Shim
We present a set of uniform polynomial equations that provides multidimensional on-lattice higher-order models of the lattice Boltzmann theory, while keeping compact the number of…
Generalized Entropy Approach for Conserved Systems with Finite vs Infinite Entities: Insights into Non-Gaussian and Non-Chi-Square Distributions using Havrda-Charvát-Tsallis Entropy vs Gaussian Distributions via Boltzmann-Shannon Entropy
Jae Wan Shim
We demonstrate that the most probable state of a conserved system with a limited number of entities or molecules is the state where non-Gaussian and non-chi-square distributions go…
Minimal number of discrete velocities for a flow description and internal structural evolution of a shock wave
Jae Wan Shim
A fluid flow is described by fictitious particles hopping on homogeneously distributed nodes with a given finite set of discrete velocities. We emphasize that the existence of a fi…
Uniform Polynomial Equations Providing Higher-order Multi-dimensional Models in Lattice Boltzmann Theory
Jae Wan Shim
We present a set of polynomial equations that provides models of the lattice Boltzmann theory for any required level of accuracy and for any dimensional space in a general form. We…
Univariate Polynomial Equation Providing Models of Thermal Lattice Boltzmann Theory
Jae Wan Shim
A univariate polynomial equation is presented. It provides models of the thermal lattice Boltzmann equation. The models can be accurate up to any required level and can be applied…