Mesh deformation and shock capturing techniques for high-order simulation of unsteady compressible flows on dynamic meshes

High-order CFD has great potential for solving flows of industrial interest that are not quite possible today, such as the highly separated, vortex-dominated flows of high-lift systems. However, while conventional 2nd-order finite-volume codes have greatly matured in their range of capabilities and applications, the same cannot be said of high-order methods. The simulation of unsteady flows on arbitrarily deforming domains is one such capability that is yet to be fully adopted into high-order CFD. Likewise, shock-capturing schemes for high-order CFD are also in their infancy. In this work, we propose to combine the two capabilities in the high-order CFD code HiFiLES, and demonstrate their functionality and utility on representative test cases.