A family of high-order targeted ENO schemes for compressible-fluid simulations

An improved WENO-Z scheme

A new class of adaptive high-order targeted ENO schemes for hyperbolic conservation laws

A fifth-order shock capturing scheme with two-stage boundary variation diminishing algorithm

A very-high-order TENO scheme for all-speed gas dynamics and turbulence

Comparison of improved finite-difference WENO schemes for the implicit large eddy simulation of turbulent non-reacting and reacting high-speed shear flows

A new pressure-based lattice-Boltzmann method (HRR-p) is proposed for the simulation of flows for Mach numbers ranging from 0 to 15 Compatible with nearest-neighbor lattices (eg, D3Q19), the model consists of a predictor step comparable to classical athermal lattice-Boltzmann methods, appended with a fully local and explicit correction step for the pressure Energy conservation—for which the Hermitian quadrature is not accurate enough on such a lattice—is solved via a classical finite volume MUSCL-Hancock scheme based on the entropy equation The Euler part of the model is then validated for the transport of three canonical modes (vortex, entropy, and acoustic propagation), while its diffusive/viscous properties are assessed via thermal Couette flow simulations All results match the analytical solutions with very limited dissipation Last, the robustness of the method is tested in a one-dimensional shock tube and a two-dimensional shock–vortex interaction

/pdf/a-pressure-based-regularized-lattice-boltzmann-method-for-3f8n5lsgmf.pdf

A pressure-based regularized lattice-Boltzmann method for the simulation of compressible flows

https://hal.archives-ouvertes.fr/hal-02346556/document

Hybrid regularized Lattice-Boltzmann modelling of premixed and non-premixed combustion processes

Dynamics and kinematics of the reactive scalar gradient in weakly turbulent premixed flames

Owing to the lack of consensus about the way Chapman–Enskog should be performed, a new Taylor-expansion of lattice-Boltzmann models is proposed. In contrast to the Chapman–Enskog expansion, recalled in this manuscript, the method only assumes a sufficiently small time step. Based on the Taylor expansion, the collision kernel is reinterpreted as a closure for the stress-tensor equation. Numerical coupling of lattice-Boltzmann models with other numerical schemes, also encompassed by the method, is shown to create error terms whose scalings are more complex than those obtained via Chapman–Enskog. An athermal model and two compressible models are carefully analyzed through this new scope, casting a new light on each model's consistency with the Navier–Stokes equations.

/pdf/consistency-study-of-lattice-boltzmann-schemes-macroscopic-4bqmcc058r.pdf

S. Zhao

Papers

Comparison of improved finite-difference WENO schemes for the implicit large eddy simulation of turbulent non-reacting and reacting high-speed shear flows

A pressure-based regularized lattice-Boltzmann method for the simulation of compressible flows

Hybrid regularized Lattice-Boltzmann modelling of premixed and non-premixed combustion processes

Dynamics and kinematics of the reactive scalar gradient in weakly turbulent premixed flames

Consistency study of Lattice-Boltzmann schemes macroscopic limit