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The NL-SORS method for separation of nonlinear multidirectional waves into incident and reflected wave trains

Sarah Krogh Iversen, Mads Røge Eldrup, Thomas Lykke Andersen & Peter Frigaard

Physical model tests are often conducted during the design process of coastal structures. The wave climate in such tests often includes short-crested nonlinear waves. The structural response is related to the incident waves measured in front of the structure. Existing methods for separation of incident and reflected short-crested waves are based on linear wave theory. For analysis of nonlinear waves, the existing methods are limited to separation of nonlinear long-crested waves. For short-crested waves, the only options so far have been to use estimates without the structure in place. The present paper thus presents a novel method for directional analysis of nonlinear short-crested waves: Non-Linear Single-summation Oblique Reflection Separation (NL-SORS). The method is validated on numerical model data, as for such data, the target is well defined as simulations may be performed with fully absorbing boundaries. Second- and third-order wave theory is used to demonstrate that small errors on the celerity of nonlinear components in the mathematical model of the surface elevation can be obtained if a double narrow-banded directional spectrum is assumed, ie the primary frequency and the directional spreading function must be narrow banded. As the increasing nonlinearity of the waves often arise from waves shoaling on a sloping foreshore, the directional spreading of the waves will decrease due to refraction, and a broad directional spreading function will thus not be experienced in highly nonlinear conditions. The new NL-SORS method is shown to successfully decompose nonlinear short-crested wave fields and estimate the directional spectrum thereof.

Coastal Engineering / 2025
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Critical Review of the OSPAR Risk Based Approach for Offshore Produced Water Discharges

A. F. Nielsen, A. Baun, S. I. Andersen, L. M. Skjolding*

The management of produced water (PW) discharges from offshore oil and gas installations in the North Atlantic is under the auspices of OSPAR (Oslo/Paris convention for Protection of the Marine Environment of the North-East Atlantic). In 2010, OSPAR introduced the Risk Based Approach (RBA) for PW management. The RBA includes a hazard assessment estimating PW ecotoxicity using two approaches: Whole Effluent Testing (WET) and Substance Based (SB). Set against the framework of the WET and SB approach, this study conducted a literature review on the magnitude and cause of PW ecotoxicity, respectively, and on the challenges of estimating these. A large variability in the reported magnitude of PW WET was found, with (E/L)C50-values ranging from 100% and a median of 11% (n=301). Metals, hydrocarbons, and production chemicals were identified as causing ecotoxicity across literature. However, this review reveals how knowledge gaps on PW composition and high sample- and species-dependency of PW ecotoxicity makes clear identification and generalization difficult. It also highlights how limitations regarding availability and reliability of ecotoxicity data result in large uncertainties in the subsequent risk estimates, which is not adequately reflected in the RBA output (e.g. environmental impact factors). Thus, it is recommended to increase the focus on improving ecotoxicity data quality before further use in the RBA, and that WET should play a more pronounced role in the testing strategy. To increase the reliability of the SB approach, more attention should be given to the actual composition of PW. Bioassay-directed chemical analysis, combining outcomes of WET and SB in toxicity identification evaluations, may hold the key to identifying drivers of ecotoxicity in PW. Finally, an uncertainty appraisal must be an integrated part of all reporting of risk estimates in the RBA, to avoid mitigation actions based on uncertainties rather than reliable ecotoxicity estimations.

Integrated Environmental Assessment and Management / 2023
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IWEC model validation and cost optimization of infinity WEC wave energy converter

A. Rashid, M. Sidenmark, C. Eskilsson & M. Wallentin

This paper presents the methods developed and key findings of the IWEC project performed by Ocean Harvesting Technologies AB (OHT). It aimed to reduce the levelized cost of energy (LCoE) of OHT’s wave energy converter InfinityWEC, by analysing how different key parameters impact cost and annual output using a model of a 100-MW array installation. Component-level cost functions were developed and mapped to key parameters and constraints of the system. A large number of system configurations were then evaluated with a numerically efficient 3 degree-of-freedom (DoF) nonlinear radiationdiffraction model in WEC-Sim along with OHT’s sea statetuned polynomial reactive control (PRC). The most promising configurations were identified and investigated in more detail. The configuration with the best LCoE were finally identified and analysed further, including estimation of the effect of changing the PRC to model predictive control, which resulted in 17-34% higher annual output and 12-23% lower LCoE. The final LCoE was found to be 93-162 EUR MWh at 100 MW installed capacity. An important finding from the study is that using simplified metrics such as CAPEX/ton was found to be irrelevant. Numerical wave tank testing, high-fidelity computational fluid dynamics (CFD), were used to tune the viscous drag of the 3 DoF WEC-Sim model. Applying verification and validation (V&V) techniques the CFD simulations showed a relatively large numerical uncertainty, but the average power and the motion responses were found to be sufficiently accurate.

Proceedings of the European Wave and Tidal Energy Conference / 2021
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Occupational accidents in the Danish merchant fleet and the nationality of seafarers

Ádám, Balázs; Rasmussen, Hanna Barbara; Pedersen, Randi Nørgaard Fløe; Jepsen, Jørgen Riis

Background
The aim of the study was to examine occupational accidents reported from non-passenger merchant ships registered in the Danish International Ship Register in 2010-2012, with a focus on analysing nationality differences in the risk of getting injured in an accident.

Methods
Data about notified occupational accidents were collected from notifications sent to the Danish Maritime Authority and from records of contact with Danish Radio Medical. Events were matched by personal identification and accident data to create a unified database. Stratified cumulative time spent on board by seafarers was used to calculate accident rates. Incidence rates of different nationalities were compared by Poisson regression.

Results
Western European seafarers had an overall accident rate of 17.5 per 100000 person-days, which proved to be significantly higher than that of Eastern European, South East Asian and Indian seaman (adjusted incidence rate ratio 0.53, 0.51 and 0.74, respectively), although differences decreased over the investigated period. Smaller but in most cases still significant discrepancies were observed for serious injuries. The back injury rate of Western European employees was found especially high, while eye injuries seem to be more frequent among South East Asian workers.

Conclusions
The study identified substantial differences between nationalities in the rate of various accidents reported from merchant ships sailing under the Danish flag. The differences may be attributed to various factors such as safety behaviour. Investigation of special injury types and characterisation of effective elements of safety culture can contribute to the improvement of workplace safety in the maritime sector

Journal of Occupational Medicine and Toxicology, volume 9 / 2014
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A decentralized control strategy for optimal operation of multi-sources in shipboard power systems

Adeel Ahmad Jamil, Wen Fu Tu, Muhammad Usman Tahir, Jen Chun Lee, Yacine Terriche & Josep M. Guerrero

The maritime sector faces increasing pressure to reduce emissions, especially in ports, pushing governments and shipowners towards greener energy sources. Conventional diesel generator (DG) powered vessels experience increased fuel consumption and emissions during low-power demand due to fluctuating loads with changing sea conditions. Integrating battery energy storage can absorb excess power, optimize DG operation, reduce costs, and manage variable loads. Traditional shipboard power systems (SPS) rely on centralized control schemes, which pose the risk of single points of failure, scalability issues, and increased latency due to centralized decision-making. Decentralized control improves resilience and scalability by eliminating single points of failure and enabling local decision-making, which improves response times and system robustness. Although recent research has explored decentralized control strategies for AC or DC-based SPS, there is limited work on hybrid AC-DC SPS architectures. This paper proposes a decentralized control strategy for integrating multiple power sources within a hybrid AC-DC network to optimize their operation. This approach allows vessels to operate in various modes, including full diesel, hybrid, and zero emission, and seamlessly transition between these modes as needed. The effectiveness of the proposed control scheme is validated through simulation and high-fidelity software-in-the-loop (SIL) results in OPAL-RT 5700, demonstrating adaptive power sharing among different resources.

Electrical Engineering / 2025
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Maritime Piracy and the Ambiguous Art of Existential Arbitrage

Adrienne Mannov

This paper explores the ways in which maritime labor, maritime risk, and seafarers’ survival are embedded in the financial logics and practices of the global shipping industry. By employing the notion of “existential arbitrage,” the ethnography moves through the pursuit of global profit to the value of labor as a commodity, human and financial risk, and ultimately the value of human lives, all of which are arbitraged. Arbitrage is a profit strategy that is based on a belief in the equalizing power of the market yet is predicated on and creates difference among commodities in order to create opportunities to generate profit. Existential arbitrage brings anthropological studies of security and conflict and trade and finance together. By taking the interdependence of these subfields seriously and showing how the relationship between them manifests itself in practice, the notion of existential arbitrage uncovers a brutal financial trading strategy that requires and forces the oscillation between notions of valuable life and the valuation of labor commodities in a competitive global market.

Current Anthropolgy / 2023
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Traders across borders: who and where?

Agnieszka Nowińska*, Jean François Marie André Hennart, Svetla Marinova

The authors revisit the literature on the use of expatriates and specifically Boyacigiller (1990) and examine whether OW Bunker, a Danish bunker oil trader, filled positions at its foreign units with traders transferred from its other units (expatriates). The authors test the generalizability and robustness of past findings on this topic by using a different dependent variable, sample, and methodology. Design/methodology/approach: By searching the traders' LinkedIn profiles and consulting secondary sources, the authors obtain data on current and previous positions and work location and type of customer handled (global or local). Using qualitative comparative analysis (QCA), the authors analyze 236 hiring decisions made between 1983 and 2014. Findings: The authors find that OW transferred expatriates, principally home-country nationals, to handle global customers in its large foreign subsidiaries located in high-income countries. In another clear pattern, expatriates were used to start new foreign subsidiaries. These results generally confirm those of Boyacigiller. However, and contrary to her findings, none of our scenarios for internal transfers feature expatriates being sent to culturally and institutionally distant subsidiaries unless it is to serve global customers, casting doubt on the idea that a major reason for using expatriates is to remedy a local shortage of skills or to handle political risk. Originality/value: The authors test the generalizability of Boyacigiller’s (1990) findings and confirm a large part of it. They extend her study by demonstrating that MNEs deploy expatriates not only to distant countries but also to close ones.

Journal of Global Mobility / 2023
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A representative model and benchmark suite for the container stowage planning problem

Agnieszka Sivertsen, Line Reinhardt & Rune Møller Jensen

Due to limited access to domain knowledge and domain-relevant benchmark data, the Container Stowage Planning Problem (CSPP) is notably under-researched. In particular, previous models of the CSPP have lacked two key aspects of the problem: lashing forces and paired block stowage. The former may reduce vessel capacity by up to 10%, and the latter is NP-hard. The Representative CSPP (RCSPP), which captures all critical aspects of the problem is formulated. The presented RCSPP incorporates overlooked constraints such as paired block stowage and lashing, along with an innovative method for estimating lashing forces, all while maintaining simplicity. A heuristic method, STOW, has been developed to identify solutions for the RCSPP using a specially designed benchmark suite based on real-world scenarios. STOW algorithm is an advanced search heuristic employing a diverse range of solution modification strategies, each tailored to address specific aspects of stowage optimization. Feasible solutions were successfully identified for all instances within the benchmark suite. Our initial findings emphasize the importance of accurately modeling lashing forces and employing paired block stowage. Results show that removing the lashing constraint can increase the number of containers stowed by over 7% on average, while disabling paired block stowage can result in nearly a 5% increase.

Transportation Research Part E: Logistics and Transportation Review / 2025
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A representative model and benchmark suite for the container stowage planning problem

Agnieszka Sivertsen, Line Reinhardt & Rune Møller Jensen

Due to limited access to domain knowledge and domain-relevant benchmark data, the Container Stowage Planning Problem (CSPP) is notably under-researched. In particular, previous models of the CSPP have lacked two key aspects of the problem: lashing forces and paired block stowage. The former may reduce vessel capacity by up to 10%, and the latter is NP-hard. The Representative CSPP (RCSPP), which captures all critical aspects of the problem is formulated. The presented RCSPP incorporates overlooked constraints such as paired block stowage and lashing, along with an innovative method for estimating lashing forces, all while maintaining simplicity. A heuristic method, STOW, has been developed to identify solutions for the RCSPP using a specially designed benchmark suite based on real-world scenarios. STOW algorithm is an advanced search heuristic employing a diverse range of solution modification strategies, each tailored to address specific aspects of stowage optimization. Feasible solutions were successfully identified for all instances within the benchmark suite. Our initial findings emphasize the importance of accurately modeling lashing forces and employing paired block stowage. Results show that removing the lashing constraint can increase the number of containers stowed by over 7% on average, while disabling paired block stowage can result in nearly a 5% increase.

Transportation Research Part E: Logistics and Transportation / 2025
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Uncertainty, status-based homophily, versatility, repeat exchange and social exchange in the container shipping industry

Agnieszka Urszula Nowinska, Hans-Joachim Schramm

In this paper, we contribute to the literature on uncertainty and the drivers of social exchange. We explore the 2008 financial crisis and hand-collect unique data on more than 2,700 vessel chartering deals closed in the container shipping industry from 2000 to 2011. Our contribution is twofold. We challenge the literature by finding that low and high status players use different collaborative strategies under uncertainty: the high status players are more prone to coopetition and the low status ones reach out to external buyers. We also extend the literature on social exchange and uncertainty and introduce other constructs: strategic versatility and country-level long-term orientation of the suppliers that we study in our model. Our findings are relevant for policy and managerial decision-makers in the industry.

Journal of Business Research / 2021
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