A novel moving mesh method for solving fluid dynamic equations
نویسندگان
چکیده
منابع مشابه
Moving Mesh Methods for Solving Parabolic Partial Differential Equations
In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements. The evolution of the mesh within the interior of the spatial domain is based upon conserving the distribution of a chosen monitor function across the domain throughout time, where the i...
متن کاملA Discontinuous Galerkin Moving Mesh Method for Hamilton-Jacobi Equations
where x = (x1, . . . , xd) ∈ IR , t > 0. HJ equations arise in many practical areas such as differential games, mathematical finance, image enhancement and front propagation. It is well known that solutions of (1) are Lipschitz continuous but derivatives can become discontinuous even if the initial data is smooth. There is a close relation between HJ equations and hyperbolic conservation laws. ...
متن کاملAn AMG preconditioner for solving Navier-Stokes equations with moving mesh finite element method
In this paper, we apply an AMG prconditioner to solve the unsteady NavierStokes equations with moving mesh finite element method. 4P1 − P1 element pair is selected, which is based on the data structure of hierarchy geometry tree. We choose two-layer nested meshes including velocity mesh and pressure mesh. AMG preconditioners are designed for PDE solver and divergence-interpolation in moving mes...
متن کاملA Numerical Method For Solving Ricatti Differential Equations
By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of Adams-Bashforth rules for solving it, in which moments are used instead of the constant coefficients of Adams-Bashforth rules. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.
متن کاملA NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS
In the literature, several numerical methods are proposed for solvingnth-order fuzzy linear differential equations. However, till now there areonly two analytical methods for the same. In this paper, the fuzzy Kolmogorov'sdifferential equations, obtained with the help of fuzzy Markov modelof piston manufacturing system, are solved by one of these analytical methodsand illustrated that the obtai...
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: AIP Advances
سال: 2020
ISSN: 2158-3226
DOI: 10.1063/5.0014413