Advancing fluid flow simulation through low-dissipation shock and vortex-resolving methods

Accurate simulation of compressible turbulent flows and shock–vortex interactions remains a core challenge in computational fluid dynamics, especially when resolving fine-scale vortical structures alongside strong discontinuities. This paper introduces a hybrid weighted essentially non-oscillatory (WENO) scheme aimed at balancing the demands of shock-capturing and turbulence resolution in compressible flows. The method delivers improved accuracy in capturing both classical flow discontinuities and complex vortical structures typical of turbulent flows. The proposed scheme is tested across core case studies, including one-dimensional shock–entropy wave interactions, two-dimensional double-vortex pairing, and three-dimensional Taylor–Green vortex transition to turbulence. Results show that this hybrid scheme provides sharper resolution of discontinuities and better captures fine-scale turbulent structures. In the double-vortex pairing case, the method reduces numerical dissipation by nearly 20%, compared to earlier versions of WENO schemes, enabling a more precise depiction of vortex dynamics and mixing. For the Taylor–Green vortex, the scheme detects more turbulent structures than the 11th-order method, improving predictions of kinetic energy dissipation and enstrophy evolution. These advancements are vital for applications in science and engineering involving compressible turbulence and shock–boundary layer interactions, where accurately resolving both discontinuities and vortical features is essential.