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oai:figshare.com:article/33842806 2026-09-16T11:13:09Z portal_1197 item_type_3 month_year_09_2026

Data for Efficient simulation of rarefied gas flow past a particle: A boundary element method for the linearized G13 equations Juan C. Padrino-Inciarte (24886549) James E. Sprittles (7625531) Duncan A. Lockerby (11114529) Reynolds number Viscous flow -- Mathematical models Fluid dynamics -- Mathematical models Gas flow -- Mathematical models Navier-Stokes equations Migrated from ePrints We develop a novel boundary integral formulation for the steady linearized form of Grad's 13- moment (G13) equations applied to uniform flow of rarefied gas past solid objects at low Mach numbers. Changing variables leads to a system of boundary integral equations that combines integral equations from Stokes ow and potential theory. The strong coupling between the stress deviator and heat flux featured by the G13 equations demands adding a boundary integral equation for the pressure. We specialize the integral equations for axisymmetric flow with no swirl and derive the axisymmetric fundamental solutions for the pressure equation, seemingly absent in the Stokes- flow literature. Using the boundary element method to achieve a numerical solution, we apply this formulation to streaming ow of rarefied gas past prolate or oblate spheroids with their axis of symmetry parallel to the free stream, considering various aspect ratios and Knudsen numbers- the ratio of the molecules' mean free path to the macroscopic length scale. After validating the method, we obtain the surface profiles of the deviations from the unperturbed state of the traction, heat flux, pressure, temperature, and slip velocity, as well as the drag on the spheroid, observing convergence with the number of elements. Rarefaction phenomena such as temperature jump and polarization, Knudsen effects in the drag, and velocity slippage are predicted. This method opens a new path for investigating other gas non-equilibrium phenomena that can be modelled by the same set of equations, such as thermophoresis, and has application in nano- and microfluidics.<br><br>Data are for rarefied gas flow past spheroids or spheres. Files are named as follows: g13drag_51_sphere g13drag_NumberElements_Kn_sphere g13drag_XX_geometry g13_aXbX_knYY_ZZ_wiInteg_TanNorNumExa NSlip_aXbX_knYY_ZZ_wiInteg_TanNorNumExa Files in folder 'DataExtrema_Section6p2' contain data used to generate Figures 11, 12, and 13 2022-05-31T00:00:00Z Dataset Dataset 10.82444/warw.33842806.v1 https://figshare.com/articles/dataset/Data_for_Efficient_simulation_of_rarefied_gas_flow_past_a_particle_A_boundary_element_method_for_the_linearized_G13_equations/33842806 CC BY 4.0