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By adding a specific form of interface dissipation to the baseline entropy conserving scheme we create a provably entropy stable scheme.
To extend the scope of the original SRDmc algorithm to e.g. immiscible two-phase flow with viscosity contrast we implement an angular momentum conserving scheme (SRDmc+).
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This paper presents a systematic approach to deriving energy conserving schemes for frictionless impact modelling.
The present work deals with the design of energy momentum conserving schemes for flexible multibody dynamics.
Moreover, the dissipation properties are fully controlled through an algorithmic parameter, reducing to existing fully conserving schemes, if desired.
Exact entropy conserving schemes cannot dissipate energy at shocks, thus to compute accurate solutions to problems that may develop shocks, we determine a dissipation term to guarantee entropy stability for the numerical scheme.
We also show that a full discretized version of the conserved scheme with finite elements is also unconditionally stable.
Moreover, when kinetic-energy conserving schemes are used for the predictor step, the algorithm discretely conserves the kinetic energy in the low-Mach limit.
Truncation error analysis indicates that energy conserving schemes produce anti-diffusion error if the mesh is stretched, or positive diffusion if it is narrowed.
The generalization of the approach to the multi-dimensional case is outlined, based on a novel and simple charge conserving interpolation scheme.
A so modified total energy conserving staggered scheme is applied to the Coggeshall adiabatic compression problem, and now also entropy is basically exactly conserved for each Lagrangian cell, and there is increased accuracy for internal energy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com