The moving mesh code Shadowfax
نویسندگان
چکیده
منابع مشابه
Moving Mesh Methods Based on Moving
Several versions of a moving mesh method are developed based on a mesh spatial smoothing technique and on the moving mesh PDEs derived in a previous paper. These versions are quite simple and easy to program. They are applied to three benchmark one-dimensional problems which show diierent solution behaviour. The numerical results clearly demonstrate that the present methods are capable of accur...
متن کاملBuilding a Cosmological Hydrodynamic Code: Consistency Condition, Moving Mesh Gravity and SLH-PM
Building a self-gravitating hydrodynamic code as a combination of a hydrodynamic solver and a gravity solver is discussed. We show that straightforward combining those two solvers generally leads to a code that does not conserve energy locally, and instead a special Consistency Condition ought to be satisfied. A particular example of combining Softened Lagrangian Hydrodynamics (SLH) with a PM g...
متن کاملMoving Mesh Partial Differential Equations
In this paper we consider several moving mesh partial diierential equations which are related to the equidistribution principle. Several of these are new, and some correspond to discrete moving mesh equations which have been used by others. An analysis of their stability is done. It is seen that a key term for most of these moving mesh PDEs is a source-like term which measures the level of equi...
متن کاملA Moving Mesh Numerical Method
We show that the possibly discontinuous solution of a scalar conservation law in one space dimension may be approximated in i-'(R) to within 0(N~2) by a piecewise linear function with O(N) nodes; the nodes are moved according to the method of characteristics. We also show that a previous method of Dafermos, which uses piecewise constant approximations, is accurate to 0(N~l). These numerical met...
متن کاملMOVCOL4: A Moving Mesh Code for Fourth-Order Time-Dependent Partial Differential Equations
In this paper we develop and analyze a moving mesh code for the simulation of fourth-order PDEs based on collocation. The scheme is shown to enforce discrete conservation for problems written in a generalized conservation form. To demonstrate the breadth of applicability we present examples from both Cahn-Hilliard and thin-film type equations exhibiting metastable behaviour, finite-time solutio...
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: Astronomy and Computing
سال: 2016
ISSN: 2213-1337
DOI: 10.1016/j.ascom.2016.05.001