scholarly journals An ALE Formulation for Explicit Runge-Kutta Residual Distribution

2014 ◽  
pp. 57-65
Author(s):  
Remi Abgrall ◽  
Luca Arpaia ◽  
Mario Ricchiuto
Keyword(s):  
Residual Distribution ◽  
Ale Formulation ◽  
Runge Kutta

scholarly journals An ALE Formulation for Explicit Runge–Kutta Residual Distribution

2014 ◽  
Vol 63 (2) ◽  
pp. 502-547 ◽  
Author(s):  
L. Arpaia ◽  
M. Ricchiuto ◽  
R. Abgrall
Keyword(s):  
Residual Distribution ◽  
Ale Formulation ◽  
Runge Kutta

scholarly journals Runge–Kutta Residual Distribution Schemes

2014 ◽  
Vol 62 (3) ◽  
pp. 772-802 ◽  
Author(s):  
Andrzej Warzyński ◽  
Matthew E. Hubbard ◽  
Mario Ricchiuto
Keyword(s):  
Residual Distribution ◽  
Residual Distribution Schemes ◽  
Runge Kutta

Numerical modeling of mixing downstream of a mass slug injection using exponential Runge-Kutta integrator

2016 ◽  
Author(s):  
Xin Liu ◽  
◽  
ABDOLMAJID MOHAMMADIAN ◽  
Infante Sedano
Keyword(s):  
Numerical Modeling ◽  
Runge Kutta

A Consistent Implementation of Inelastic Material Models into Steady State Rolling

2016 ◽  
Vol 44 (3) ◽  
pp. 174-190 ◽  
Author(s):  
Mario A. Garcia ◽  
Michael Kaliske ◽  
Jin Wang ◽  
Grama Bhashyam
Keyword(s):  
Steady State ◽  
Numerical Simulations ◽  
Viscoelastic Material ◽  
Rolling Contact ◽  
Arbitrary Lagrangian Eulerian ◽  
Ale Formulation ◽  
Inelastic Material ◽  
Material Formulation ◽  
Steady State Rolling ◽  
Efficient Alternative

ABSTRACT Rolling contact is an important aspect in tire design, and reliable numerical simulations are required in order to improve the tire layout, performance, and safety. This includes the consideration of as many significant characteristics of the materials as possible. An example is found in the nonlinear and inelastic properties of the rubber compounds. For numerical simulations of tires, steady state rolling is an efficient alternative to standard transient analyses, and this work makes use of an Arbitrary Lagrangian Eulerian (ALE) formulation for the computation of the inertia contribution. Since the reference configuration is neither attached to the material nor fixed in space, handling history variables of inelastic materials becomes a complex task. A standard viscoelastic material approach is implemented. In the inelastic steady state rolling case, one location in the cross-section depends on all material locations on its circumferential ring. A consistent linearization is formulated taking into account the contribution of all finite elements connected in the hoop direction. As an outcome of this approach, the number of nonzero values in the general stiffness matrix increases, producing a more populated matrix that has to be solved. This implementation is done in the commercial finite element code ANSYS. Numerical results confirm the reliability and capabilities of the linearization for the steady state viscoelastic material formulation. A discussion on the results obtained, important remarks, and an outlook on further research conclude this work.

Semi-implicit Runge-Kutta schemes for stiff multi-dimensional reacting flows

1997 ◽  
Author(s):  
Jack Yoh ◽  
Xiaolin Zhong ◽  
Jack Yoh ◽  
Xiaolin Zhong
Keyword(s):  
Reacting Flows ◽  
Runge Kutta
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