ترجمه مقاله نقش ضروری ارتباطات 6G با چشم انداز صنعت 4.0
- مبلغ: ۸۶,۰۰۰ تومان
ترجمه مقاله پایداری توسعه شهری، تعدیل ساختار صنعتی و کارایی کاربری زمین
- مبلغ: ۹۱,۰۰۰ تومان
Abstract
We present a stability analysis for two different rotational pressure correction schemes with open and traction boundary conditions. First, we provide a stability analysis for a rotational version of the grad–div stabilized scheme of Bonito et al. (2015). This scheme turns out to be unconditionally stable, provided the stabilization parameter is suitably chosen. We also establish a conditional stability result for the boundary correction scheme presented in Bänsch (2014). These results are shown by employing the equivalence between stabilized gauge Uzawa methods and rotational pressure correction schemes with traction boundary conditions.
6. Conclusion
We present stability analyses for the two different rotational pressure correction fractional time stepping schemes supplemented with open and traction boundary conditions. The grad–div stabilized scheme is unconditionally stable and our results can open the door for producing an error analysis for it. For the results of boundary correction scheme in Section 4, we observe a major drawback. Namely, we require the rather stringent condition (4.6). Computations presented in [8] and in this work indicate that this is not sharp. How to circumvent this is currently under investigation.