Blunt-body configurations are the most common geometries adopted for non-lifting re-entry vehicles.Hypersonic re-entry vehicles experience different flow regimes during flight due to drastic changes in atmospheric den...Blunt-body configurations are the most common geometries adopted for non-lifting re-entry vehicles.Hypersonic re-entry vehicles experience different flow regimes during flight due to drastic changes in atmospheric density.The conventional Navier-Stokes-Fourier equations with no-slip and no-jump boundary conditions may not provide accurate information regarding the aerothermodynamic properties of blunt-bodies in flow regimes away from the continuum.In addition,direct simulation Monte Carlo method requires significant computational resources to analyze the near-continuum flow regime.To overcome these shortcomings,the Navier-Stokes-Fourier equations with slip and jump conditions were numerically solved.A mixed-type modal discontinuous Galerkin method was employed to achieve the appropriate numerical accuracy.The computational simulations were conducted for different blunt-body configurations with varying freestream Mach and Knudsen numbers.The results show that the drag coefficient decreases with an increased Mach number,while the heat flux coefficient increases.On the other hand,both the drag and heat flux coefficients increase with a larger Knudsen number.Moreover,for an Apollo-like blunt-body configuration,as the flow enters into non-continuum regimes,there are considerable losses in the lift-to-drag ratio and stability.展开更多
Viscoelastic fluids due to their non-linear nature play an important role in process and polymer industries. These non-linear characteristics of fluid, influence final outcome of the product. Such processes though loo...Viscoelastic fluids due to their non-linear nature play an important role in process and polymer industries. These non-linear characteristics of fluid, influence final outcome of the product. Such processes though look simple are numerically challenging to study, due to the loss of numerical stability. Over the years, various methodologies have been developed to overcome this numerical limitation. In spite of this, numerical solutions are considered distant from accuracy, as first-order upwind-differencing scheme （UDS） is often employed for improving the stability of algorithm. To elude this effect, some works been reported in the past, where high-resolution-schemes （HRS） were employed and Deborah number was varied. However, these works are limited to creeping flows and do not detail any information on the numerical stability of HRS. Hence, this article presents the numerical study of high shearing contraction flows, where stability of HRS are addressed in reference to fluid elasticity. Results suggest that all I-IRS show some order of undue oscillations in flow variable profiles, measured along vertical lines placed near contraction region in the upstream section of domain, at varied elasticity number E ~ 5. Furthermore, by E, a clear relationship between numerical stability of HRS and E was obtained, which states that the order of undue oscillations in flow variable profiles is directly proportional to E.展开更多
基金the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(NRF 2017-R1A2B2007634),South Korea.
文摘Blunt-body configurations are the most common geometries adopted for non-lifting re-entry vehicles.Hypersonic re-entry vehicles experience different flow regimes during flight due to drastic changes in atmospheric density.The conventional Navier-Stokes-Fourier equations with no-slip and no-jump boundary conditions may not provide accurate information regarding the aerothermodynamic properties of blunt-bodies in flow regimes away from the continuum.In addition,direct simulation Monte Carlo method requires significant computational resources to analyze the near-continuum flow regime.To overcome these shortcomings,the Navier-Stokes-Fourier equations with slip and jump conditions were numerically solved.A mixed-type modal discontinuous Galerkin method was employed to achieve the appropriate numerical accuracy.The computational simulations were conducted for different blunt-body configurations with varying freestream Mach and Knudsen numbers.The results show that the drag coefficient decreases with an increased Mach number,while the heat flux coefficient increases.On the other hand,both the drag and heat flux coefficients increase with a larger Knudsen number.Moreover,for an Apollo-like blunt-body configuration,as the flow enters into non-continuum regimes,there are considerable losses in the lift-to-drag ratio and stability.
文摘Viscoelastic fluids due to their non-linear nature play an important role in process and polymer industries. These non-linear characteristics of fluid, influence final outcome of the product. Such processes though look simple are numerically challenging to study, due to the loss of numerical stability. Over the years, various methodologies have been developed to overcome this numerical limitation. In spite of this, numerical solutions are considered distant from accuracy, as first-order upwind-differencing scheme （UDS） is often employed for improving the stability of algorithm. To elude this effect, some works been reported in the past, where high-resolution-schemes （HRS） were employed and Deborah number was varied. However, these works are limited to creeping flows and do not detail any information on the numerical stability of HRS. Hence, this article presents the numerical study of high shearing contraction flows, where stability of HRS are addressed in reference to fluid elasticity. Results suggest that all I-IRS show some order of undue oscillations in flow variable profiles, measured along vertical lines placed near contraction region in the upstream section of domain, at varied elasticity number E ~ 5. Furthermore, by E, a clear relationship between numerical stability of HRS and E was obtained, which states that the order of undue oscillations in flow variable profiles is directly proportional to E.
