The paper concerns numerical analysis of pressure distribution of an oil film on the valve plate in the variable height gap of an axial piston pump. The analysis employs the finite element method. For determination of oil pressure variations in the gap, the Reynolds equation, commonly applied in the theory of lubrication, is applied. The equation is solved numerically with the use of self-developed program based on the finite element method. In order to obtain high accuracy of the results, an adaptive mesh refinement based on residual estimations of solution errors is applied. The calculation results are represented as dependent on the geometric and working parameters of the pump.
Abstract. The paper is devoted to the use of error estimators based on gradient recovery in finite element computations, where the resulting error estimates can be used as the basis for hp-adaptive mesh refinement. Due to high complexity of adaptive numerical software we have decided to take advantage of the object-oriented paradigm of software development. We discuss our implementation of the Zienkiewicz-Zhu error estimator and of selected gradient recovery techniques (averaging and superconvergent patch recovery).
This paper is concerned with calculating stresses in two-component alloy castings solidifying in metal moulds. The main reasons for stress formation are mechanical resistance of the mould and non-homogeneous temperature gradients. Stresses appear in castings when a coherent solid phase skeleton has formed, which may occur in wide range of solid phase fraction. The need for taking the thermal resistance of air gaps into account is exposed.
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