A novel, simple, robust, and effective modification in the nonlinear weights of the scale-
invariant WENO operator is proposed that achieves an optimal order of accuracy with …

In solving hyperbolic conservation laws using the fifth-order characteristic-wise alternative
WENO finite-difference scheme (AWENO) with Z-type affine-invariant nonlinear Ai-weights …

The advantage of WENO-JS scheme (1996)[22] over the WENO-LOC scheme (1994)[27] is
that the WENO-LOC non-linear weights do not achieve the desired order of convergence in …

The WENO-AIM proposed by Vevek et al.[22] can achieve the optimal order for the critical
point, and the complex structure of the mapping function of WENO-AIM will substantially …

The novel and simple nonlinear affine-invariant weights (Ai-weights) are devised for the Ai-
WENO operator to handle the case when the function being reconstructed undergoes an …

Abstract Ha et al.[1] have constructed a novel set of smoothness indicators by using the L 1-
norm measure and introducing a user-tunable parameter to propose a new WENO scheme …

In this paper, we developed a novel high-resolution fifth-order WENO-JS-type scheme that
can achieve the optimal accuracy order at or near the arbitrary order critical points. To …

The high-order shock-capturing scheme is critical for compressible fluid simulations, in
particular for cases where strong shockwaves are present. However, for the steady-state …

We develop in this paper nonlinear weights for shock capturing schemes, such that the
design optimal high order is achieved regardless of any order of the critical point. In …

In this paper, we propose a new adaptive cut-off function and develop a fifth-order targeted
ENO scheme that achieves optimal accuracy at any order of critical points, which performs …