Numerical simulation of ideal and non-ideal under-expanded supersonic jets with adaptive grids

• Published in: Journal of computational and applied mathematics 2023-08, Vol.427, p.115169, Article 115169
• Main Authors: Yan, Peng, Conti, Camilla Cecilia, Gori, Giulio, Re, Barbara, Guardone, Alberto
• Format: Article
• Language: English
• Subjects: Mach disk; Molecular complexity; Non-ideal compressible fluid dynamics; Under-expanded jets; Unstructured mesh adaptation
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2023.115169

This paper numerically investigates the effect of flow non-ideality on the Mach disk pattern occurring in axisymmetric under-expanded supersonic jets. The explored conditions are found in the non-ideal gas region close to the liquid–vapor saturation curve and the critical point, where involved thermodynamics cannot be accurately described by the ideal gas law. Numerical simulations of steady inviscid compressible flows are carried out by adopting the polytropic ideal gas model and improved Peng–Robinson thermodynamic model, via the open-source computational fluid dynamics code SU2. To properly resolve the Mach disk position and radius, a mesh adaptation procedure is used. An assessment of the most suitable mesh adaptation criteria for the considered ideal and non-ideal flow configurations is carried out, considering isotropic and anisotropic mesh adaptation criteria. The best mesh adaptation criterion for ideal and non-ideal under-expanded jets results to be the anisotropic criterion based on the Hessian of the density and Mach number field. Then, the effects of the flow non-ideality on the Mach disk are investigated by simulating different operating conditions of under-expanded nozzle jets of five different vapors. For nitrogen, oxygen, carbon dioxide, the Mach disk moves downstream and has a smaller radius with a higher level of non-ideality. Conversely, for siloxanes MM and MDM, the Mach disk moves upstream and has a larger radius as the non-ideality of the flows increases. •Numerical simulations of under-expanded jets in ideal and non-ideal regimes.•Assessment of mesh adaptation criteria for ideal and non-ideal under-expanded jets.•Anisotropic mesh adaptation based on density and Mach number are the best criteria.•Simulation of under-expanded jets with five fluids in non-ideal regimes.•Investigation of the non-ideal effects on the position and radius of Mach disk.