This paper proposes a WENO-based upwind rotating lattice Boltzmann flux solver (WENO-URLBFS) within a finite difference framework for simulating unsteady compressible flows with contact discontinuities and strong shock waves. The method builds upon the original Rotated Lattice Boltzmann Flux Solver (RLBFS) by redefining the tangential velocity at the interface based on the theoretical solution of the Euler equations. Additionally, the normal vector at the interface is decomposed into two orthogonal directions, and the numerical fluxes along these directions are combined through a weighted approach, resulting in more robust and less dissipative numerical results.To improve the spatial accuracy of the scheme, a novel hybrid WENO interpolation technique is employed to reconstruct physical variables on both sides of the interface in the characteristic space. Based on the WENO-Z scheme, this scheme introduces a four-point stencil formed by combining three-point substencils, optimizing the weight distribution, and achieves higher spectral resolution than the classic WENO scheme through approximate dispersion relation (ADR) analysis method. The advection of a density perturbation problem was simulated to evaluate the order of accuracy of the WENO-URLBFS scheme and compared with traditional schemes. The results show that all schemes achieved the designed fifth-order accuracy, and the new WENO scheme exhibited smaller errors. In addition, a series of challenging benchmark test cases, including the shock tube problem, Shu Osher problem, blast wave propagation, double Mach reflection, two-dimensional Riemann problems, Kelvin Helmholtz instability, and the Sedov point explosion problem were selected to systematically evaluate the performance of the WENO-URLBFS scheme. The results further demonstrate that the proposed method exhibits excellent stability, low numerical dissipation, and high resolution in capturing complex flow phenomena involving strong shock waves and contact discontinuities.
 

Low dissipation, High order, URLBFS, WENO