Principles of Solution of the Governing Equations

Blažek, Jiří

doi:10.1016/b978-0-08-099995-1.00003-8

Cited by 12 publications

(8 citation statements)

References 281 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To discretize the equations, it uses finite volumes, makes discrete equations that can be used for control volume (cell), adjusts the changes not to depend on cell geometry, the use of a generic vertical coordinate (Ruiz et al, 2002). According to Blazek (Blazek, 2015), the main advantage of the volume-limited method compared to the difference-limited method by which spatial discretization is done directly in physical space, which avoids problems related to the transformation between physical coordination and the coordinate equation system. (Padman and Erofeeva, 2005).…”

Section: Hydrodynamics Modelmentioning

confidence: 99%

Numerical Modeling of Tidal Current Patterns Using 3-Dimensional MOHID in Balikpapan Bay, Indonesia

Hermansyah

Ningsih

Nabil

et al. 2020

JIPK

View full text Add to dashboard Cite

HighlightsThe results of the model and observation showed the similarity of the amplitude and phase formedAt the highest tide was in the position above the Sea Mean level and the current velocity was lower than when heading to the tideThere was a difference in the direction of the current when heading towards high tideStratification of the water column in both seasons tended to be classified in well-mixed watersAbstractBalikpapan Bay is significant as a link between the cities within and outside of East Kalimantan by becoming the primary path used for local transportation and distribution of produced goods. The various anthropogenic activities increased liquid wastes and debris, which flowed through channels and rivers along the bay. This study aimed to determine tidal current patterns in Balikpapan Bay and its influence on salinity and temperature distributions. This study applied a baroclinic three-dimensional (3D) hydrodynamic model, employing wind, tides, and density variations, resulting from the differences of temperature and salinity, as the model input. To simulate the tidal current flow, we applied MOHID Water Modeling System, which the tidal current patterns depicted current directions and speeds at the different tidal conditions. During the displacement toward the high tidal condition, the water mass moves northwestward entering the river body, while at the displacement toward the low tidal condition, the water mass moves southeastward, which flows toward the coast and without the bay. The current speed varies at certain tidal conditions. At the highest tidal condition, the surface elevation ranged 1.3 - 1.5 m above mean sea level; the current rate is lower compared to the displacement toward high tidal condition, which ranged from 0.01 - 0.15 m/s. At the lowest tidal condition, the surface elevation reached 1 - 1.2 m below mean sea level, and the weaker flow velocity took place (less than 0.15 m/s). The results also showed that the water mass temperature tends to be higher in the inner part of Balikpapan Bay, the Balikpapan Bay waters profile that is increasingly shallow towards the bay head also causes this area to tend to have a higher temperature. Also, areas located on the inside of the bay tend to get more freshwater input from rivers, so this area has lower salinity while the area located at the mouth of the bay tends to be of higher salinity because it gets a lot of mass input of seawater from the Makassar Strait.

show abstract

Section: Hydrodynamics Modelmentioning

confidence: 99%

Numerical Modeling of Tidal Current Patterns Using 3-Dimensional MOHID in Balikpapan Bay, Indonesia

Hermansyah

Ningsih

Nabil

et al. 2020

JIPK

View full text Add to dashboard Cite

show abstract

“…The main difference between FEMs and FVMs is that the quantities in FVMs are cell-averaged values, whereas in FEMs and FDMs, the values are localised at the mesh points (Hirsch, 2007). Therefore, FEMs and FVMs can be distinguished by the following two features (Blazek, 2015):…”

Section: Methods Of Numerical Analysismentioning

confidence: 99%

A review on multi-physics numerical modelling in different applications of magnetorheological fluids

Elsaady

Oyadiji

Nasser

2020

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

Magnetorheological fluids involve multi-physics phenomena which are manifested by interactions between structural mechanics, electromagnetism and rheological fluid flow. In comparison with analytical models, numerical models employed for magnetorheological fluid applications are thought to be more advantageous, as they can predict more phenomena, more parameters of design, and involve fewer model assumptions. On that basis, the state-of-the-art numerical methods that investigate the multi-physics behaviour of magnetorheological fluids in different applications are reviewed in this article. Theories, characteristics, limitations and considerations employed in numerical models are discussed. Modelling of magnetic field has been found to be rather an uncomplicated affair in comparison to modelling of fluid flow field which is rather complicated. This is because, the former involves essentially one phenomenon/mechanism, whereas the latter involves a plethora of phenomena/mechanisms such as laminar versus turbulent rheological flow, incompressible versus compressible flow, and single- versus two-phase flow. Moreover, some models are shown to be still incapable of predicting the rheological nonlinear behaviour of magnetorheological fluids although they can predict the dynamic characteristics of the system.

show abstract

“…Apart from the finite element method, the finite difference method is one of the most popular numerical methods used for static calculations of building structures. The subject matter has been taken up in numerous outstanding and fundamental scientific works [13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The method has been used in calculations regarding plate structures [3,27,28], tanks [2,7] or surface girders.…”

Section: Calculation Methodsmentioning

confidence: 99%

Numerical Analysis of the Bottom Thickness of Closed Rectangular Tanks Used as Pontoons

Szymczak-Graczyk

2020

Applied Sciences

View full text Add to dashboard Cite

This paper concerns the numerical analysis of closed rectangular tanks made in one stage, used as pontoons. Such structures can be successfully used as floating platforms, although they primarily serve as floats for ‘houses on water’. Amphibious construction has fascinated designers for many years and is becoming, in addition to a great and prestigious location for many purposes, a practical global necessity. Severe weather phenomena that no country is safe from, i.e., heavy rains or floods, combined with the scarcity of space intended for the construction of residential buildings, encourage development at the contact of water and land or on water only. This paper contains an analysis of the static work of tanks with different bottom thickness subjected to hydrostatic load acting on tank walls and the bottom plate and evenly distributed load acting on the upper plate, i.e., major impacts that occur when tanks are used as pontoons. Calculations were made using the finite difference method in terms of energy, assuming the Poisson’s ratio ν = 0. Based on the solutions obtained, charts were made that illustrated the change in bending moments at the characteristic points of the analysed tanks depending on acting loads. The article also includes calculations of buoyancy, stability and the metacentric height for tanks with different bottom thicknesses, with the main purpose being to improve and share knowledge on their safe use as pontoons.

show abstract

Principles of Solution of the Governing Equations

Cited by 12 publications

References 281 publications

Numerical Modeling of Tidal Current Patterns Using 3-Dimensional MOHID in Balikpapan Bay, Indonesia

Numerical Modeling of Tidal Current Patterns Using 3-Dimensional MOHID in Balikpapan Bay, Indonesia

A review on multi-physics numerical modelling in different applications of magnetorheological fluids

Numerical Analysis of the Bottom Thickness of Closed Rectangular Tanks Used as Pontoons

Contact Info

Product

Resources

About