The implementation of a modular particle-continuum (MPC) numerical method is presented which solves the Navier-Stokes (NS) equations in regions of near-equilibrium and uses the direct simulation Monte Carlo (DSMC) method where the flow is in non-equilibrium. A mesh refinement procedure is described which allows the NS equations to be solved on a relatively coarse mesh using large implicit time-...

A modular particle-continuum (MPC) numerical method is presented which solves the Navier-Stokes (NS) equations in regions of near-equilibrium and uses the direct simulation Monte Carlo (DSMC) method where the flow is in non-equilibrium. The MPC method is designed specifically for steady-state, hypersonic, nonequilibrium flows and couples existing, state-of-the-art DSMC and NS solvers into a sin...

Abstract. Comparison of particle (DSMC) simulation with the numerical solution of the Navier-Stokes (NS) equations for pressure-driven plane Poiseuille flow is presented and contrasted with that of the acceleration-driven Poiseuille flow. Although for the acceleration-driven case DSMC measurements are qualitatively different from the NS solution at relatively low Knudsen number, the two are in ...

A hybrid numerical scheme designed for hypersonic non-equilibrium flows is presented which solves the Navier-Stokes equations in regions of near-equilibrium and uses the direct simulation Monte Carlo method where the flow is in non-equilibrium. Detailed analysis of each stage of the hybrid cycle illustrates the difficulty in defining physically correct DSMC boundary conditions in regards to bot...

A modular particle-continuum (MPC) numerical method is used to simulate steady-state hypersonic flows which exhibit local regions of non-equilibrium embedded within mainly continuum flow fields. The MPC method loosely couples direct simulation Monte Carlo (DSMC) and Navier-Stokes (NS) methods which operate in different regions, use different mesh densities, and are updated using different sized...

در این مقاله حل دقیق ارتعاش برون صفحه‌ای نانو ورق‌های مستطیلی نسبتاً ضخیم براساس تئوری غیر‌محلی تغییر شکل برشی سینوسی اصلاح شده با نظر گرفتن شرایط مرزی لوی ارائه است. هدف اصلی تحقیق بررسی اثر مقیاس کوچک بر پارامترهای فرکانسی می‌باشد. برای توصیف تأثیرات خارج از صفحه‌ی ورق غیر محلی ارینگن استفاده شده. مشتمل شش حالت مختلف شامل دو ضلع موازی دارای تکیه‌گاه ‌ساده و اضلاع دیگر ترکیبی ساده، گیردار آزاد ...

Abstract To overcome the defects of traditional rarefied numerical methods such as Direct Simulation Monte Carlo (DSMC) method and unified Boltzmann equation schemes extend covering range macroscopic equations in high Knudsen number flows, data-driven nonlinear constitutive relations (DNCR) are proposed first through machine learning method. Based on training data from both Navier-Stokes (NS) s...

A preliminary hybrid particle-continuum computational framework for simulating hypersonic interacting flows is proposed. The framework consists of the direct simulation Monte Carlo-Information Preservation (DSMC-IP) method coupled with a Navier-Stokes solver. Since the DSMC-IP method provides the macroscopic information in each time step, determination of the continuum fluxes across the interfa...

This paper presents a numerical approach to solve the multiple temperature kinetic model (MTKM) proposed in AIAA 2009-672, then shows some applications in microscale gas flow simulations. The numerical results predicted by the MTKM are compared with those from Direct Simulation Monte Carlo (DSMC) method, the Navier-Stokes (NS) equations, and the early three temperature kinetic model (TTKM) prop...