A Convergence Study of Multimaterial Mesh-based Surface Tracking

نویسندگان

  • Fang Da
  • Christopher Batty
  • Eitan Grinspun
چکیده

We report the results from experiments on the convergence of the multimaterial mesh-based surface tracking method introduced by the same authors. Under mesh refinement, approximately first order convergence or higher in L1 and L2 is shown for vertex positions, face normals and non-manifold junction curves in a number of scenarios involving the new operations proposed in the method.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multimaterial Mesh-Based Surface Tracking: Supplemental Material

This supplementary document summarizes additional details of our multimaterial mesh-based surface tracking method, including multimaterial enhancements for collision-safe mesh improvement, expanded discussion of the zipper-based merging used as a comparison against snap-based merging, results of two scaling experiments on our current implementation, and a discussion of the parameters affecting ...

متن کامل

Multimaterial Front Tracking

We present the first triangle mesh-based technique for tracking the evolution of general three-dimensional multimaterial interfaces undergoing complex topology changes induced by deformations and collisions. Our core representation is a non-manifold triangle surface mesh with material labels assigned to each half-face to distinguish volumetric regions. We advect the vertices of the mesh in a La...

متن کامل

Fault tolerant nano-satellite attitude control by adaptive modified nonsingular fast terminal control

In this paper, an adaptive fault tolerant nonlinear control is proposed for attitude tracking problem of satellite with three magnetorquers and one reaction wheel in the presence of inertia uncertainties, external disturbances, and actuator faults. Firstly, sliding surface variable is chosen based on avoiding the singularity of control signal and guaranteeing the convergence of attitude trackin...

متن کامل

Arbitrary Lagrangian-Eulerian methods for modelling high speed multi-material flows

Arbitrary Lagrangian Eulerian methods are well suited to modelling high speed compressible multimaterial flow problems in complex geometry. In this talk three stage ALE schemes will be considered, which are typically used for practical calculations of multimaterial flows. These three stages are: a Lagrangian stage, in which the solution and the computational mesh are updated; a rezoning stage, ...

متن کامل

Surface-Only Simulation of Fluids

Surface-Only Simulation of Fluids Fang Da Surface-only simulation methods for fluid are those that perform computation only on a surface representation, without relying on any volumetric discretization. Such methods have superior asymptotic complexity in time and memory than the traditional volumetric discretization approaches, and thus are more tractable for simulation of complex fluid phenome...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015