It is well known that low diffusion Riemann solvers with minimal smearing on contact and
shear waves are vulnerable to shock instability problems, including the carbuncle …

Abstaining from a corrector step of SIMPLE-like algorithms, a coupled pressure-based
algorithm is designed using a cell-centered finite-volume Δ-approximation on a collocated …

In this paper, pressure‐based and density‐based methods are studied at different flow
speeds. The methods are intended for steady flows, and the goal is to find as general an …

Numerical investigations to assess the performance of different flux schemes for the spatial
discretisation of the Euler equations have been performed. The schemes employed in the …

This article develops a new hybrid flux‐limited scheme for a numerical solution of the
hyperbolic conservation laws by applying fuzzy logic‐based operator functions. The …

The construction of the proposed second-order accurate scheme is based on the Monotonic
Upstream Schemes for Conservation Laws (MUSCL) strategy. Using some strong notions …

In this paper, we propose Data-driven simulation-assisted Physics-learned Artificial
Intelligence (DPAI), a deep-learning algorithm to simulate heat diffusion in large-grain …

With the advancements of numerical upstream and central difference methods in modeling
the subsonic and supersonic flows in different paths including the flow inside turbine blades …

Upwinding allows for accurate, non-oscillatory capturing of shocks waves; however, many
Riemann solvers (both exact and approximate) suffer from some sort of numerical instability …

In this paper, we studied the perturbation in the system of Euler equations of two
dimensional case in order to gain a better understanding regarding the causes of the shock …