Navier-Stokes equations/ Navier-Stokes equation solutionunstructured triangular mesheslow Mach number modelnumerical methodfinite volume methodunstructured finite elementsfinite difference schemegeneralized coordinate transformationsA low Mach number model of the Navier–Stokes equations has been developed for ...
^Schöwe, A., 2014. Global strong solution for large data to the hyperbolic Navier-Stokes equation. arXiv preprint arXiv:1409.7797. ^Schöwe, A., 2012. A quasilinear delayed hyperbolic Navier-Stokes system: global solution, asymptotics and relaxation limit. Methods and Applications of Analysis...
^Tosio Kato. Strong Lp-solutions of the Navier-Stokes equation in Rm, with appli- cations to weak solutions. Math. Z., 187(4):471–480, 1984.^F. Planchon. Global strong solutions in Sobolev or Lebesgue spaces to the in- compressible Navier-Stokes equations in R3. Ann. Inst. H. ...
Existence and smoothness of solution of the Navier-Stokes equation are exactly disproved for the first time by using two different approaches: Energy gradient theory and Poisson equation method. At a higher Reynolds number, the velocity profile in laminar flow is distorted under a disturbance and ve...
In fluid mechanics, the Navier-Stokes equations are partial differential equations that express the flow of viscous fluids.
In Chaps. 3, 4 and 6 we dealt with the discretization of a generic conservation equation. The discretization principles described there apply to the momentum and continuity equations (which we shall collectively call the Navier-Stokes equations) . In thi
在求解不可压缩流体问题时，利用Navier-Stokes方程描述流场，通过PINN方法可以实现对流场参数的求解。实验结果显示，PINN能够准确预测流场中的速度分量u和v以及压力p，验证了其在复杂流体动力学问题求解方面的有效性和实用性。通过训练和优化，PINN不仅能够解决正问题，还能处理逆问题，为物理系统建模和参数识别...
Plane-Strain Propagation of a Fluid-Driven Fracture: Small Toughness Solution The paper considers the problem of a plane-strain fluid-driven fracture propagating in an impermeable elastic solid, under condition of small (relative) so... DI Garagash,E Detournay - 《Journal of Applied Mechanics》...
Existence and smoothness of solution of the Navier-Stokes equation are exactly disproved for the first time by using two different approaches: Energy gradient theory and Poisson equation method. At a higher Reynolds number, the velocity profile in laminar flow is distorted under a disturbance and ve...
深度学习求解微分方程系列五：PINN求解Navier-Stokes方程正逆问题 1.PINN简介 神经网络作为一种强大的信息...