An implicit p‐adaptive discontinuous Galerkin solver for CAA/CFD simulations. (26th April 2022)

• Record Type: Journal Article
• Authors: Colombo, Alessandro; Crivellini, Andrea; Ghidoni, Antonio; Nigro, Alessandra; Noventa, Gianmaria
• Is Part Of: International journal for numerical methods in fluids. Volume 94:Number 8(2022)
• Page Start: 1269
• Page End: 1297
• Publication Date: 2022-04-26
• Subjects: computational AeroAcoustics -- discontinuous Galerkin -- implicit LES -- p‐adaptation -- SD7003 airfoil -- sponge‐layer; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.5089
• Languages: English
• ISSNs: 0271-2091

Abstract

Abstract: In the last decades flow simulations have become a routine practice in many industrial fields for the aerodynamic and noise prediction. Moreover, the ever increasing interest in simulating off‐design operating conditions promoted the development of high‐fidelity simulation tools to overcome the modeling and accuracy limits of standard industrial codes in predicting turbulent separated flows. The discontinuous Galerkin (DG) method is well suited for this class of simulations, but today DG‐based CFD and CAA (Computational AeroAcoustics) solvers cannot yet reach the computational efficiency of well‐established commercial codes. As a consequence, the present paper aims at exploiting some attractive strategies, such as the adaptation of the elemental polynomial degree ( p ‐adaptation) and of the degree of exactness of quadrature rules, to enhance the computational efficiency of an implicit DG platform for CFD and CAA simulations. Moreover, a sponge layer non‐reflecting boundary treatment has been also implemented for CAA. The predicting capabilities of the method have been assessed on classical CAA and CFD test cases. The proposed adaptive strategy guarantees a significant reduction ( ≈ 50 % ) of the computational effort for both CFD and CAA simulations, compared to uniform‐order discretizations, while not spoiling the high accuracy requested to an high‐fidelity simulation tool. Abstract : A unified p‐adaptive discontinuous Galerkin framework for both CAA and high‐fidelity CFD simulations is presented. The method uses implicit time integration, optimizes the cost of numerical quadrature on curved cells, and implements a simple but effective anti‐reflecting boundary treatment when dealing with CAA. The numerical results demonstrate an improved performance when compared to uniform‐order DG discretizations.