High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics
نویسندگان
چکیده
منابع مشابه
High order curvilinear finite elements for elastic-plastic Lagrangian dynamics
This paper presents a high-order finite element method for calculating elastic-plastic flow on moving curvilinear meshes and is an extension of our general high-order curvilinear finite element approach for solving the Euler equations of gas dynamics in a Lagrangian frame [1, 2]. In order to handle transition to plastic flow, we formulate the stress-strain relation in rate (or incremental) form...
متن کاملGeometrical Validity of Curvilinear Finite Elements
In this paper, we describe a way to compute accurate bounds on Jacobian determinants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the distortion of curvilinear elements. The key feature ...
متن کاملGeometrical validity of curvilinear pyramidal finite elements
A method to efficiently determine the geometrical validity of curvilinear finite elements of any order was recently proposed in [1]. The method is based on the adaptive expansion of the Jacobian determinant in a polynomial basis built using Bézier functions, that has both properties of boundedness and positivity. While this technique can be applied to all usual finite elements (triangles, quadr...
متن کاملMulti-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and two-dimensional computations
A new multi-scale, stabilized method for Q1/P0 finite element computations of Lagrangian shock hydrodynamics is presented. Instabilities (of hourglass type) are controlled by a stabilizing operator derived using the variational multi-scale analysis paradigm. The resulting stabilizing term takes the form of a pressure correction. With respect to broadly accepted hourglass control approaches, the...
متن کاملAlgebraic Multigrid for High-Order Hierarchical H(curl) Finite Elements
Classic multigrid methods are often not directly applicable to nonelliptic problems such as curl-type partial differential equations (PDEs). Curl-curl PDEs require specialized smoothers that are compatible with the gradient-like (near) null space. Moreover, recent developments have focused on replicating the grad-curl-div de Rham complex in a multilevel hierarchy through smoothed aggregation ba...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Fluids
سال: 2013
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2012.06.004