Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …

This paper presents a shock capturing artificial viscosity scheme for the compact high-order
finite volume methods in terms of the variational reconstructions on unstructured grids. The …

The numerical schemes for computational aeroacoustics (CAA) should have minimal
dispersion and proper dissipation in order to accurately capture the amplitude and phase of …

A new implicit method for solving the Spalart-Allmaras (SA) turbulence model is proposed
using a formal second-order upwind scheme on unstructured grids for steady-state flows …

Inspired by the tip feathers of soaring birds, the device of tip sails was designed and
installed on the wing to achieve drag reduction. The influences of design parameters …

This paper presents a general positivity-preserving algorithm for implicit high-order finite
volume schemes that solve compressible Euler and Navier-Stokes equations to ensure the …

In the research field of rotorcraft aerodynamics, there are two fundamental challenges:
resolving the complex vortex structures in rotor wakes and representing the moving rotor …

This paper presents a new family of high-order implicit time marching schemes based on
direct integration and temporal reconstruction (DITR). These schemes can be used to solve …

This paper proposes a novel reconstruction technique based on conjugate gradient method
for the variational finite volume schemes. Compared with the Gauss-Seidel or Jacobian …

Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …