For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

Discretization of the convection term in a three-cell compact stencil has been widely used in
Computational Fluid Dynamics (CFD) of engineering because the second-order …

Context. Computational astrophysics nowadays routinely combines grid-adaptive
capabilities with modern shock-capturing, high resolution spatio-temporal integration …

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes
equations describe fluid flows and are representative of nonlinear physical systems with …

In this paper, we extend the range of targeted ENO (TENO) schemes (Fu et al.(2016)[18]) by
proposing an eighth-order TENO8 scheme. A general formulation to construct the high-order …

For compressible flows characterized by a wide range of flow length scales and
discontinuities, it is still an open challenge to design the optimal schemes, which resolve the …

Context. Worldwide very long baseline radio interferometry (VLBI) arrays are expected to
obtain horizon-scale images of supermassive black hole candidates and of relativistic jets in …

In our effort to facilitate machine learning-assisted computational fluid dynamics (CFD), we
introduce the second iteration of JAX-Fluids. JAX-Fluids is a Python-based fully …

In this paper, we propose a new scale-separation formula and develop a very-high-order
targeted ENO scheme, which shows exceptional performance in conventional compressible …

The TENO-family schemes (Fu et al. in J Comput Phys 305: 333–359, 2016) have been
demonstrated to perform well for compressible gas dynamics and turbulent flow predictions …