Abstract:In this article, the numerical method proposed in Part I is validated by applying it to relatively simple validation test cases with phase change as well as to real-life problems. First, the results of the 1-D calculations are compared with the analytical solutions for the Stefan problem with mushy zone. Then, the 2-D and 3-D calculations of the Bridgman crystal growth are compared with available experimental results. The ability to predict the residual stresses is demonstrated on an academic 2-D example. Fina… Show more
“…In Part II of this work [41], the present method is validated against analytical solutions and available measurement data and, to demonstrate its applicability, some real-life industrial casting problems are presented.…”
Section: Discussionmentioning
confidence: 99%
“…The so-called predictor-stage values of v and p [appearing in expression (48) for v à j ], which satisfy the (linearized) momentum equation, do not necessarily satisfy the continuity equation (18), which can be written, by using expressions for the mass flux (41), in the following form: Table 2. Transient term contribution a /t and Q /t in Eq.…”
This article presents a method for calculation of the complete casting process, including the pouring of the liquid metal into the mold, its solidification, the deformation of the solidified cast, the formation of airgaps between the cast and the mold and their influence on the heat transfer, and the residual stresses. An original phase-change procedure is developed, valid for an arbitrary number of pure metals and=or alloys. A collocated version of a segregated finite-volume method is used to calculate both the liquid metal flow and the deformations and stresses in solids.
“…In Part II of this work [41], the present method is validated against analytical solutions and available measurement data and, to demonstrate its applicability, some real-life industrial casting problems are presented.…”
Section: Discussionmentioning
confidence: 99%
“…The so-called predictor-stage values of v and p [appearing in expression (48) for v à j ], which satisfy the (linearized) momentum equation, do not necessarily satisfy the continuity equation (18), which can be written, by using expressions for the mass flux (41), in the following form: Table 2. Transient term contribution a /t and Q /t in Eq.…”
This article presents a method for calculation of the complete casting process, including the pouring of the liquid metal into the mold, its solidification, the deformation of the solidified cast, the formation of airgaps between the cast and the mold and their influence on the heat transfer, and the residual stresses. An original phase-change procedure is developed, valid for an arbitrary number of pure metals and=or alloys. A collocated version of a segregated finite-volume method is used to calculate both the liquid metal flow and the deformations and stresses in solids.
“…Example cases are shown in Figure 20, and examples references include: [39,47,55,69,87,110,116,117,119,124,124,129,130,137,161,167,169,188,219,225,245,255,428,429,433,435,437,[580][581][582][583][584][585][586][587][588];…”
Since early publications in the late 1980s and early 1990s, the finite volume method has been shown suitable for solid mechanics analyses. At present, there are several flavours of the method, including "cell-centred", "staggered", "vertex-centred", "periodic heterogenous microstructural", "Godunov-type", "matrix-free", "meshless", as well as others. This article gives an overview, historical perspective, comparison and critical analysis of the different approaches, including their relative strengths, weaknesses, similarities and dissimilarities, where a close comparison with the de facto standard for computational solid mechanics, the finite element method, is given. The article finishes with a look towards future research directions and steps required for finite volume solid mechanics to achieve widespread acceptance.
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